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

1, 1, 3, 14, 122, 1538, 28160, 687216, 21985504, 877927620, 43310174393, 2579819875036, 182645907850321, 15166854447512754, 1459204576675950496, 161391028121114185561, 20297024256655626819933, 2880152675051053471691329, 458990926597368013495650709

Offset: 1

Author

Robert G. Wilson v, Feb 27 2011

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A000140, A186860.

Programs

Mathematica

f[n_] := Max@ CoefficientList[ Expand@ Product[1 + Sum[i*x^i, {i, j}], {j, n - 1}], x]; Array[f, 19]