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 A376722 #9 Oct 03 2024 09:56:46 %S A376722 1,0,0,0,1,1,0,0,1,4,1,0,1,9,9,1,1,16,36,16,2,25,100,100,26,37,225, %T A376722 400,226,85,442,1225,1226,505,833,3137,4901,3217,2080,7120,15878, %U A376722 15976,9081,15696,44182,63626,47125,41625,110926,213688,217801,157300,272251,630458 %N A376722 Expansion of 1/sqrt((1 - x^4 - x^5)^2 - 4*x^9). %F A376722 a(n) = Sum_{k=0..floor(n/4)} binomial(k,n-4*k)^2. %o A376722 (PARI) my(N=60, x='x+O('x^N)); Vec(1/sqrt((1-x^4-x^5)^2-4*x^9)) %o A376722 (PARI) a(n) = sum(k=0, n\4, binomial(k, n-4*k)^2); %Y A376722 Cf. A051286, A298567, A376721. %Y A376722 Cf. A246884. %K A376722 nonn %O A376722 0,10 %A A376722 _Seiichi Manyama_, Oct 02 2024