A028056 - OEIS

A028056

Expansion of 1/((1-3x)(1-5x)(1-6x)(1-10x)).

1, 24, 373, 4800, 55861, 613224, 6497893, 67364880, 688931221, 6985860024, 70462212613, 708365604960, 7106726476981, 71208736700424, 712951450202533, 7134775273637040, 71379698771197141, 713990571075854424

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (24, -203, 720, -900).

FORMULA

a(n)=(3*10^(n+3)-35*6^(n+3)+42*5^(n+3)-10*3^(n+3))/420. [Yahia Kahloune, Jun 08 2013]

MATHEMATICA

CoefficientList[Series[1/((1-3x)(1-5x)(1-6x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{24, -203, 720, -900}, {1, 24, 373, 4800}, 20] (* Harvey P. Dale, Feb 16 2024 *)

CROSSREFS

Sequence in context: A028060 A026326 A028043 * A025997 A028040 A025994

Adjacent sequences: A028053 A028054 A028055 * A028057 A028058 A028059

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved