This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A289289 #15 Feb 16 2025 08:33:48 %S A289289 0,5,19,37,1,149,1,165,559,5,1,1373,1,5,2698,2725,1,581,1,2445,3160,5, %T A289289 1,8285,1751,5,15139,9677,1,18005,1,31397,16045,5,13450,2669,1,5, %U A289289 52801,20365,1,20501,1,65333,59425,5,1,86621,48707,99005,59029,54173,1,99725 %N A289289 a(n) = A005259(n) mod (n+1)^3. %H A289289 Seiichi Manyama, <a href="/A289289/b289289.txt">Table of n, a(n) for n = 0..10000</a> %H A289289 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/AperyNumber.html">Apéry Number</a> %F A289289 If m = n + 1 is a prime and m >= 5, a(n) = 1. %o A289289 (PARI) a(n) = sum(k=0, n, (binomial(n, k)*binomial(n+k, k))^2) % (n+1)^3; \\ _Michel Marcus_, Jul 02 2017 %Y A289289 Cf. A005259, A276323. %K A289289 nonn %O A289289 0,2 %A A289289 _Seiichi Manyama_, Jul 01 2017