Sequences which I have written in the OEIS

The OEIS is the best resource for integer sequences on the internet and is maintained and presided over by Neil Sloane with the assistance of an editorial panel of around 70 mathematicians and computer programmers. It currently contains around 200000 sequences, and those listed below are my personal contributions (given in no particular order):

1.	A126168	Sum of the proper infinitary divisors of n.
2.	A126169	Smaller member of an infinitary amicable pair.
3.	A126170	Larger member of an infinitary amicable pair.
4.	A126171	The number of infinitary amicable pairs (i,j) with i<j and i<=10^n.
5.	A127666	Odd, infinitary abundant numbers.
6.	A127661	Lengths of the infinitary aliquot sequences generated by n.
7.	A126164	Sum of the proper exponential divisors of n.
8.	A126166	Larger member of each exponential amicable pair.
9.	A126173	Larger member of a reduced infinitary amicable pair.
10.	A126174	Smaller member of an augmented infinitary amicable pair.
11.	A126175	Larger member of an augmented infinitary amicable pair.
12.	A126176	Number of augmented infinitary amicable pairs (i,j) with i<j and i<=10^n.
13.	A127667	Odd integers that do not generate monotonically decreasing infinitary aliquot sequences.
14.	A129468	Unitary abundance of the integers.
15.	A111398	Numbers which are the cube roots of the products of their proper divisors.
16.	A126165	The smaller member of each exponential amicable pair.
17.	A127161	Integers whose aliquot sequences terminate by encountering a prime number.
18.	A127162	Composite numbers whose aliquot sequences terminate by encountering a prime number.
19.	A127163	Integers whose aliquot sequences terminate by encountering the prime number 3 (aka the prime family 3).
20.	A127164	Integers whose aliquot sequences terminate by encountering the prime number 7 (aka the prime family 7).
21.	A127656	Lengths of the exponential aliquot sequences.
22.	A127657	Integers whose exponential aliquot sequences end in an e-perfect number.
23.	A127658	Exponential aspiring numbers.
24.	A127659	Exponential amicable numbers.
25.	A127660	Integers whose exponential aliquot sequences end in an exponential amicable pair.
26.	A127662	Integers whose infinitary aliquot sequences end in an infinitary perfect number.
27.	A127663	Infinitary aspiring numbers.
28.	A127664	Infinitary amicable numbers.
29.	A127665	Numbers whose infinitary aliquot sequences end in an infinitary amicable pair (aka the infinitary 2-cycle attractor set).
30.	A126172	The smaller member of a reduced infinitary amicable pair.
31.	A127653	Integers whose unitary aliquot sequences terminate in 0, including 1 but excluding the other trivial cases in which n is itself either a prime or a prime power.
32.	A127654	Unitary aspiring numbers.
33.	A111399	Numbers that are members of A048945 but are not members of A111398.
34.	A128700	Highly abundant numbers with an odd divisor sum.
35.	A129487	Unitary deficient numbers.
36.	A156678	Consider primitive Pythagorean triangles (A^2 + B^2 = C^2, gcd (A, B) = 1, A < B<C); sequence gives values of B, sorted to correspond to increasing A (A020884(n)).
37.	A156679	Consider primitive Pythagorean triangles (A^2 + B^2 = C^2, gcd (A, B) = 1, A < B<C); sequence gives values of C, sorted to correspond to increasing A (A020884(n)).
38.	A156681	Consider all Pythagorean triangles A^2 + B^2 = C^2 with A<B<C; sequence gives values of B, sorted to correspond to increasing A (A009004(n)).
39.	A156682	Consider all Pythagorean triangles A^2 + B^2 = C^2 with A<B<C; sequence gives values of C, sorted to correspond to increasing A (A009004(n)).
40.	A127652	Integers whose unitary aliquot sequences are longer than their ordinary aliquot sequences.
41.	A128699	Highly abundant numbers that are not superabundant.
42.	A128701	Highly abundant numbers that are not products of consecutive primes with non-increasing exponents, i.e. that are not of the form n=2^{e_2} * 3^{e_3} * ...* p^{e_p}, with e_2>=e_3>=...>=e_p.
43.	A128702	Highly abundant numbers that are not Harshad numbers.
44.	A135928	Digital roots of the Mersenne primes.
45.	A165516	Perfect squares that can be expressed as a sum of three consecutive triangular numbers.
46.	A126104	Numbers n not divisible by 6 such that sigma(n)>3n.
47.	A127655	Numbers whose unitary aliquot sequences end in a unitary amicable pair, but which are not unitary amicable numbers themselves.
48.	A129485	Odd unitary abundant numbers.
49.	A129486	Odd unitary abundant numbers that are not odd, squarefree, ordinary abundant numbers.
50.	A129498	Unitary abundancy of n-th unitary abundant number: usigma(k)-2k if this is >0.
51.	A129499	Records for unitary abundant numbers, i.e. those integers which set a record for having a greater unitary abundance than any of their predecessors.
52.	A129656	Infinitary abundant numbers.
53.	A129657	Infinitary deficient numbers.
54.	A135927	a(n)=a(n-1)^2-2 with a(1)=10. This is the Lucas-Lehmer sequence with starting value 10.
55.	A137716	Number of digits in the n-th Cullen prime.
56.	A156680	Consider primitive Pythagorean triangles (A^2 + B^2 = C^2, gcd (A, B) = 1, A < B<C); sequence gives values of B-A, sorted to correspond to increasing A (A020884(n)).
57.	A165513	Trapezoidal numbers.
58.	A165514	The complement of the trapezoidal numbers.
59.	A165517	Indices of the least triangular numbers for which three consecutive triangular numbers sum to a perfect square.
60.	A124663	Number of reduced infinitary amicable pairs (i,j) with i<j and i<=10^n.
61.	A126160	Number of betrothed pairs (m,n) with m <=10^k (and k=1,2,3,...), where a betrothed pair satisfies sigma(m)=sigma(n)=m+n+1 and m<n.
62.	A126161	Number of augmented amicable pairs (m,n) with m<n and for which m<=10^k, k=1,2,3,...
63.	A126162	Number of unitary amicable pairs (i,j) with i<j and i<=10^n.
64.	A126163	Number of super unitary amicable pairs (i,j) with i<j and i<=10^n.
65.	A126167	Number of primitive exponential amicable pairs (i,j) with i<j and i<=10^n.
66.	A129087	Odd, doubly abundant numbers.
67.	A129575	Exponential abundant numbers.
68.	A136188	Digital roots of the Fermat numbers.
69.	A137715	Prime values of k for which k 2^n+1 is composite for all positive integers n.
70.	A137810	a(n)=2^(2^n+n)-1. Such integers are simultaneously Mersenne and Woodall numbers.
71.	A137811	Number of digits in the n-th Woodall prime.
72.	A156683	Integers that can occur as either leg in more than one Pythagorean triple.
73.	A156684	The number of primitive Pythagorean triples A^2+B^2=C^2 with 0 < A < B < C and gcd(A,B)=1, and both legs less than n.
74.	A156685	The number of primitive Pythagorean triples A^2+B^2=C^2 with 0 < A < B < C and gcd(A,B)=1 that have an hypotenuse C that is less than or equal to n.
75.	A156686	The ordered set of a + b - c as (a,b,c) runs through all Pythagorean triples with a<b<c. Also called the excess of a Pythagorean triangle, and is equal to the diameter of its incircle.
76.	A156687	Perimeters of Pythagorean triangles that can be constructed in exactly five different ways.
77.	A156688	The total number of distinct Pythagorean triples with an area numerically equal to n times their perimeters. The members of this sequence are also 1/2 the number of divisors of 8n^2.
78.	A156689	Inradii of primitive Pythagorean triples a^2+b^2=c^2, 0<a<b<c with gcd(a,b)=1, and sorted to correspond to increasing a (given in A020884).
79.	A165518	Perfect squares that can be expressed as a sum of four consecutive triangular numbers.
80.	A165519	Integers k for which k(k+1)(k+2) is a triangular number.
81.	A180149	Integers with precisely two partitions into sums of four squares of non-negative numbers.
82.	A180968	The complete set of integers that cannot be partitioned into a sum of six positive squares.
83.	A191759	The units’ digits of the odd square numbers (or the centred octagonal numbers).
84.	A191760	Digital roots of the odd square numbers (or the centred octagonal numbers).
85.	A191761	Units digits of the positive, even squares
86.	A191762	Digital roots of the positive, even squares
87.	A191763	Integers that cannot be partitioned into a sum of an odd square, an even square and a triangular number
88.	A191764	Integers that do not have a partition into a sum of an odd square and two (not necessarily distinct) triangular numbers
89.	A191765	Integers that are a sum of two non-zero triangular numbers and also two non-zero square numbers
90.	A191766	Integers that are a sum of two triangular numbers and two square numbers (including zeros)
91.	A193090	Digital roots of the non-zero pentagonal numbers
92.	A194597	Digital roots of the non-zero hexagonal numbers
93.	A194599	Units digits of the non-zero hexagonal numbers
94.	A194641	Digital roots of the non-zero heptagonal numbers
95.	A194642	Units digits of the non-zero heptagonal numbers
96.	A194731	Digital roots of the non-zero octagonal numbers
97.	A194732	Units digits of the non-zero octagonal numbers
98.	A194825	Digital roots of the non-zero nonagonal numbers
99.	A194826	Units digits of the non-zero nonagonal numbers
100.	A194886	Units digits of the non-zero decagonal numbers
101.	A195527	Integers that are k-gonal for precisely 3 distinct values of k, where k>=3
102.	A195528	Integers that are k-gonal for precisely 4 distinct values of k, where k>=3
103.	A133216	Integers that are simultaneously triangular (A000217) and decagonal (A001107). This sequence began its life as A199086 (defined for natural numbers only), but was subsequently merged with A133216.
104.	A133217	Indices of those triangular numbers (A000217) that are also decagonal (A001107). Similarly, this sequence began its life as A199087 (defined for natural numbers only), but was later merged with A133217.
105.	A133218	Indices of those decagonal numbers (A001107) that are also triangular (A000217). Similarly, this sequence began its life as A199088 (defined for natural numbers only), but was later merged with A133218.
106.	A202563	Numbers which are both decagonal and pentagonal.
107.	A202564	Indices of pentagonal numbers which are also decagonal.
108.	A202565	Indices of decagonal numbers which are also pentagonal.
109.	A203134	Numbers which are both decagonal and hexagonal.
110.	A203135	Indices of hexagonal numbers that are also decagonal.
111.	A203136	Indices of decagonal numbers that are also hexagonal.
112.	A203408	Numbers which are both heptagonal and decagonal.
113.	A203409	Indices of heptagonal numbers that are also decagonal.
114.	A203410	Indices of decagonal numbers that are also heptagonal.
115.	A203624	Numbers which are both decagonal and octagonal.
116.	A203625	Indices of octagonal numbers which are also decagonal.
117.	A203626	Indices of decagonal numbers which are also octagonal.
118.	A203627	Numbers which are both decagonal and nonagonal.
119.	A203628	Indices of nonagonal numbers which are also decagonal.
120.	A203629	Indices of decagonal numbers which are also nonagonal.
121.	A185273	Period 6: repeat (1, 6, 5, 6, 1, 0), or equivalently the units’ digits of the non-zero square triangular numbers.
122.	A205184	Period 12; repeat (1, 8, 4, 9, 7, 8, 7, 9, 4, 8, 1, 9) – or equivalently the digital roots of the indices of those non-zero triangular numbers that are also perfect squares.
123.	A205185	Period 6; repeat (1, 8, 9, 8, 1, 0) – or equivalently the units digits of the indices of non-zero triangular numbers that are also perfect squares.
124.	A205650	Period 12; repeat (1, 6, 8, 6, 1, 9, 8, 3, 1, 3, 8, 9) – or equivalently the digital roots of the indices of those non-zero square numbers that are also triangular.
125.	A205651	Period 6; repeat (1, 6, 5, 4, 9, 0) – or equivalently the units’ digits of the indices of those non-zero square numbers that are also triangular.

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