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 A307158 #20 May 20 2021 04:44:29 %S A307158 1,1,1,0,-15,-99,-398,-1175,-2351,0,29601,183195,756978,2351805, %T A307158 4885791,0,-63746991,-400000275,-1675991918,-5274560891,-11081420615, %U A307158 0,147257373891,931226954949,3929550225586,12446852889901,26304183607651,0,-353181028924809 %N A307158 a(n) = Sum_{k=0..floor(n/3)} (-1)^k * binomial(n,3*k)^2. %H A307158 Seiichi Manyama, <a href="/A307158/b307158.txt">Table of n, a(n) for n = 0..1752</a> %F A307158 a(6*n+3) = 0 for n >= 0. %t A307158 a[n_] := Sum[(-1)^k * Binomial[n,3*k]^2, {k, 0, Floor[n/3]}]; Array[a, 30, 0] (* _Amiram Eldar_, May 20 2021 *) %o A307158 (PARI) {a(n) = sum(k=0, n\3, (-1)^k*binomial(n, 3*k)^2)} %Y A307158 Central coefficients of number triangle A307156. %Y A307158 Cf. A057681, A119363, A307091. %K A307158 sign %O A307158 0,5 %A A307158 _Seiichi Manyama_, Mar 27 2019