cp's OEIS Frontend

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.

A356373 a(n) = Sum_{k=1..n} binomial(2*k, k) * A000005(k).

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%I A356373 #7 Aug 05 2022 06:19:23
%S A356373 2,14,54,264,768,4464,11328,62808,208668,947692,2358556,18583492,
%T A356373 39384692,199851092,820321172,3825723122,8492935562,62943747362,
%U A356373 133634274962,960713447882,3113744945642,11530140800522,27997002255722,285977831720522,665209651033778,2648883782826194
%N A356373 a(n) = Sum_{k=1..n} binomial(2*k, k) * A000005(k).
%t A356373 Table[Sum[Binomial[2*k, k]*DivisorSigma[0, k], {k, 1, n}], {n, 1, 30}]
%o A356373 (PARI) a(n) = sum(k=1, n, binomial(2*k, k) * numdiv(k)); \\ _Michel Marcus_, Aug 05 2022
%Y A356373 Cf. A000005, A006218, A160399, A351146.
%K A356373 nonn
%O A356373 1,1
%A A356373 _Vaclav Kotesovec_, Aug 04 2022