A025445 Expansion of 1/((1-2x)(1-3x)(1-4x)(1-7x)).

1, 16, 167, 1454, 11529, 86772, 633739, 4547818, 32300477, 228024368, 1604029791, 11260172742, 78950652145, 553177103404, 3874344193523, 27128870214626, 189936063951333, 1329688724613480, 9308367341848135

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (16,-89,206,-168).

Formula

a(n)=(2*7^(n+3)-5*4^(n+4)+10*3^(n+4)-3*2^(n+5))/120. [Yahia Kahloune, May 30 2013]

a(0)=1, a(1)=16, a(2)=167, a(3)=1454, a(n)=16*a(n-1)-89*a(n-2)+ 206*a(n-3)- 168*a(n-4). - Harvey P. Dale, Dec 07 2015

Mathematica

CoefficientList[Series[1/((1-2x)(1-3x)(1-4x)(1-7x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{16, -89, 206, -168}, {1, 16, 167, 1454}, 30] (* Harvey P. Dale, Dec 07 2015 *)

Crossrefs

Sequence in context: A246057 A265598 A021744 * A022740 A205247 A067713

Adjacent sequences: A025442 A025443 A025444 * A025446 A025447 A025448

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved