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 A350326 #4 Dec 25 2021 02:46:13 %S A350326 1,2,5,11,24,52,110,227,463,947,1956,4073,8501,17695,36654,75585, %T A350326 155396,318958,654018,1339502,2738706,5586721,11368212,23081884, %U A350326 46793949,94805057,192116284,389627700,791036691,1607529164,3268715492,6647212980,13512728367,27449702179 %N A350326 Binomial transform of A339443(n). %H A350326 <a href="/index/Par#part">Index entries for sequences related to partitions</a> %F A350326 a(n) = Sum_{k=0..n} binomial(n,k) * A339443(n-k+1). %t A350326 a[n_] := (1 - (-1)^n) (1 + Floor[Sqrt[2 n - 1]])/2 - (((-1)^n - 2 n - 1)/2 + 2 Sum[Floor[(k + 1)/2], {k, -1 + Floor[Sqrt[2 n - 2 - (-1)^n]]}]) (-1)^n/2; Table[Sum[Binomial[n, i]*a[n - i + 1], {i, 0, n}], {n, 0, 40}] %Y A350326 Cf. A339443. %K A350326 nonn %O A350326 0,2 %A A350326 _Wesley Ivan Hurt_, Dec 24 2021