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A022638 Expansion of Product_{m>=1} (1 + m*q^m)^10. 2
1, 10, 65, 350, 1630, 6852, 26635, 97030, 334990, 1104730, 3500740, 10710950, 31763985, 91589730, 257459110, 707115814, 1901162925, 5011993330, 12974420315, 33021646490, 82723179433, 204175881220, 496953703885, 1193736868990, 2832017802500, 6639914803684 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

MAPLE

[seq(coeff(series(mul((1+m*q^m)^(10), m=1..100), q, 101), q, j), j=0..25)]; # Muniru A Asiru, Feb 18 2018

MATHEMATICA

With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^10, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Feb 17 2018 *)

PROG

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+n*q^n)^10)) \\ G. C. Greubel, Feb 17 2018

(MAGMA) Coefficients(&*[(1+m*x^m)^10:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 17 2018

CROSSREFS

Column k=10 of A297321.

Sequence in context: A169797 A073381 A092441 * A003519 A056280 A000453

Adjacent sequences:  A022635 A022636 A022637 * A022639 A022640 A022641

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 15 13:01 EDT 2018. Contains 316236 sequences. (Running on oeis4.)