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.

A186772 Largest coefficient of (1)(1+1x)(1+1x+2x^2)*...*(1+1x+2x^2+...+n*x^n).

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%I A186772 #19 Jan 07 2023 10:50:40
%S A186772 1,1,3,14,122,1538,28160,687216,21985504,877927620,43310174393,
%T A186772 2579819875036,182645907850321,15166854447512754,1459204576675950496,
%U A186772 161391028121114185561,20297024256655626819933,2880152675051053471691329,458990926597368013495650709
%N A186772 Largest coefficient of (1)(1+1x)(1+1x+2x^2)*...*(1+1x+2x^2+...+n*x^n).
%H A186772 Vaclav Kotesovec, <a href="/A186772/b186772.txt">Table of n, a(n) for n = 1..200</a>
%t A186772 f[n_] := Max@ CoefficientList[ Expand@ Product[1 + Sum[i*x^i, {i, j}], {j, n - 1}], x]; Array[f, 19]
%Y A186772 Cf. A000140, A186860.
%K A186772 nonn
%O A186772 1,3
%A A186772 _Robert G. Wilson v_, Feb 27 2011