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.

A338755 Central coefficients of number triangle A210590.

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%I A338755 #24 Nov 08 2020 04:47:21
%S A338755 1,5,119,5205,324569,26519745,2681170547,323104570789,45224035123553,
%T A338755 7211322045457101,1290620989042420815,256193650031596282005,
%U A338755 55863607060241676345961,13273922770286234753307065,3413846723448521483558054235,944832714523233697801280445525,280003865538498845896076940256065
%N A338755 Central coefficients of number triangle A210590.
%H A338755 Seiichi Manyama, <a href="/A338755/b338755.txt">Table of n, a(n) for n = 0..100</a>
%F A338755 a(n) = A210590(2*n, n) = (-1)^n * A234937(2*n, n).
%o A338755 (PARI) {a(n) = my(t='t); (2*n)!*polcoef(polcoef(prod(k=1, 2*n, (1-x^k+x*O(x^(2*n)))^(-1-t)), 2*n), n)}
%o A338755 (PARI) {a(n) = my(t='t); if(n==0, 1, (2*n)!*polcoef(polcoef(exp(sum(k=1, 2*n, (1+t)*sigma(k)*(x^k+x*O(x^(2*n)))/k)), 2*n), n))}
%Y A338755 Cf. A210590, A234937.
%K A338755 nonn
%O A338755 0,2
%A A338755 _Seiichi Manyama_, Nov 07 2020