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A186860 Largest coefficient of (1)(1+2x)(1+2x+3x^2)*...*(1+2x+3x^2+...+(n+1)*x^n). 1
1, 2, 7, 49, 562, 9132, 207915, 6296448, 239972192, 11427298486, 661227186254, 45688884832738, 3716852205228166, 351101915633367990, 38275029480566516322, 4750162039324230600200, 666311679640315952033655, 105085327413072323807645048 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..18.

MATHEMATICA

f[n_] := Max@ CoefficientList[ Expand@ Product[ Sum[(i + 1)*x^i, {i, 0, j}], {j, n - 1}], x]; Array[f, 18]

PROG

(Sage)

def A186860(n):

....p = prod(sum(i*x^(i-1) for i in (1..k)) for k in (1..n))

....return Integer(max(p.coefficients())[0]) # [D. S. McNeil, Feb 28 2011]

CROSSREFS

Cf. A000140, A186772.

Sequence in context: A101538 A045598 A293043 * A139008 A058721 A086902

Adjacent sequences:  A186857 A186858 A186859 * A186861 A186862 A186863

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Feb 27 2011

STATUS

approved

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Last modified October 18 11:56 EDT 2018. Contains 316321 sequences. (Running on oeis4.)