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.

A270918 Largest coefficient of (1+x+...+x^n)^(2*n).

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%I A270918 #30 Dec 10 2021 05:43:28
%S A270918 1,2,19,580,38165,4395456,786588243,202384723528,70886845397481,
%T A270918 32458256583753952,18832730699014127291,13507852690353224821652,
%U A270918 11738630472138500287398379,12155701820213424461220851360,14790850878997102285050287114419
%N A270918 Largest coefficient of (1+x+...+x^n)^(2*n).
%H A270918 Vaclav Kotesovec, <a href="/A270918/b270918.txt">Table of n, a(n) for n = 0..210</a>
%F A270918 a(n) ~ exp(2) * sqrt(3/Pi) * n^(2*n - 3/2).
%t A270918 Table[Max[CoefficientList[Expand[Sum[x^k, {k, 0, n}]^(2n)], x]], {n, 0, 20}]
%o A270918 (PARI) a(n) = vecmax(Vec((sum(k=0,n,x^k))^(2*n))); \\ _Michel Marcus_, Apr 01 2016
%Y A270918 Cf. A077047.
%Y A270918 Cf. A002426, A005190, A005191, A018901, A025012, A025013, A025014, A025015.
%K A270918 nonn
%O A270918 0,2
%A A270918 _Vaclav Kotesovec_, Mar 26 2016
%E A270918 Typo in formula corrected by _Vaclav Kotesovec_, Dec 10 2021