A028040 Expansion of 1/((1-3x)(1-4x)(1-7x)(1-10x)).

1, 24, 375, 4870, 57321, 636924, 6829435, 71574690, 738951741, 7552940824, 76677389295, 774826006110, 7804690367761, 78442179476724, 787189784753955, 7891278029367130, 79048458617193381, 791434402768644624

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (24,-201,694,-840).

Formula

a(n)=(2*10^(n+3)-7^(n+4)+14*4^(n+3)-3^(n+5))/252. [Yahia Kahloune, Jun 07 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-7x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -201, 694, -840}, {1, 24, 375, 4870}, 30] (* Harvey P. Dale, Oct 02 2017 *)

Crossrefs

Sequence in context: A028043 A028056 A025997 * A025994 A004335 A023954

Adjacent sequences: A028037 A028038 A028039 * A028041 A028042 A028043

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved