A025945 - OEIS

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A025945

Expansion of 1/((1-2x)(1-3x)(1-7x)(1-10x)).

1, 22, 323, 4016, 45873, 499386, 5280511, 54817972, 562288925, 5721711710, 57909049419, 583934547768, 5873255438857, 58969928883394, 591360924613847, 5925240739579004, 59333827978882869, 593908224257636838

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (22,-161,452,-420)

FORMULA

a(n) = 125*10^n/21 -7^(n+3)/60 -2^n/5 +3^(n+3)/28. - R. J. Mathar, Jun 04 2013

MATHEMATICA

CoefficientList[Series[1/((1-2x)(1-3x)(1-7x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{22, -161, 452, -420}, {1, 22, 323, 4016}, 20] (* Harvey P. Dale, Sep 06 2021 *)

CROSSREFS

Sequence in context: A025948 A021904 A022343 * A288576 A020571 A021874

Adjacent sequences: A025942 A025943 A025944 * A025946 A025947 A025948

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved