A028061 Expansion of 1/((1-3x)(1-5x)(1-7x)(1-10x)).

1, 25, 404, 5390, 64791, 731595, 7939714, 83955520, 872430581, 8959286765, 91262059824, 924426748050, 9327520083571, 93861018423535, 942726158964734, 9456149685174980, 94764094925599761, 949061042927869905, 9500560621143838444, 95075305236466788310, 951241183953215635151

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (25,-221,815,-1050).

Formula

a(n) = (8*10^(n+3)-5*7^(n+4)+42*5^(n+3)-5*3^(n+4))/840. - Yahia Kahloune, Jun 08 2013

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-7x)(1-10x)), {x, 0, 20}], x] (* Harvey P. Dale, Jan 29 2020 *)
Table[(8 10^(n + 3) - 5 7^(n + 4) + 42 5^(n + 3) - 5 3^(n + 4)) / 840, {n, 0, 40}] (* Vincenzo Librandi, Jan 30 2020 *)

Prog

(Magma) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!( 1/((1-3*x)*(1-5*x)*(1-7*x)*(1-10*x)))); // Vincenzo Librandi, Jan 30 2020
(PARI) a(n)=(8*10^(n+3)-5*7^(n+4)+42*5^(n+3)-5*3^(n+4))/840 \\ Charles R Greathouse IV, Jul 05 2024

Crossrefs

Sequence in context: A028112 A238511 A028064 * A026561 A048908 A026391

Adjacent sequences: A028058 A028059 A028060 * A028062 A028063 A028064

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved