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 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