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A270918
Largest coefficient of (1+x+...+x^n)^(2*n).
4
1, 2, 19, 580, 38165, 4395456, 786588243, 202384723528, 70886845397481, 32458256583753952, 18832730699014127291, 13507852690353224821652, 11738630472138500287398379, 12155701820213424461220851360, 14790850878997102285050287114419
OFFSET
0,2
LINKS
FORMULA
a(n) ~ exp(2) * sqrt(3/Pi) * n^(2*n - 3/2).
MATHEMATICA
Table[Max[CoefficientList[Expand[Sum[x^k, {k, 0, n}]^(2n)], x]], {n, 0, 20}]
PROG
(PARI) a(n) = vecmax(Vec((sum(k=0, n, x^k))^(2*n))); \\ Michel Marcus, Apr 01 2016
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Mar 26 2016
EXTENSIONS
Typo in formula corrected by Vaclav Kotesovec, Dec 10 2021
STATUS
approved