A028012 Expansion of 1/((1-2x)(1-7x)(1-10x)(1-11x)).

1, 30, 587, 9504, 138369, 1883826, 24504439, 308525268, 3791612957, 45742587462, 543912376371, 6393243539592, 74447130731065, 860268600608538, 9877405744657583, 112802621156970876, 1282386938486825493

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (30,-313,1284,-1540).

Formula

a(n) = (10*11^(n+3)-15*10^(n+3)+6*7^(n+3)-2^(n+3))/360. [Yahia Kahloune, Jun 06 2013]

a(n) = 30*a(n-1)-313*a(n-2)+1284*a(n-3)-1540*a(n-4). - Wesley Ivan Hurt, Apr 26 2021

Mathematica

CoefficientList[Series[1/((1-2x)(1-7x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{30, -313, 1284, -1540}, {1, 30, 587, 9504}, 30] (* Harvey P. Dale, Jul 04 2016 *)

Crossrefs

Sequence in context: A028126 A028016 A028085 * A028011 A028072 A028003

Adjacent sequences: A028009 A028010 A028011 * A028013 A028014 A028015

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved