A026108 Expansion of 1/((1-2x)(1-5x)(1-9x)(1-12x)).

1, 28, 519, 8078, 114617, 1539720, 19981483, 253451506, 3165132333, 39098271212, 479245678847, 5841627343734, 70916047801249, 858343285202704, 10366285999237011, 124990982044693562, 1505251989334074965

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (28, -265, 966, -1080).

Formula

a(0)=1, a(1)=28, a(2)=519, a(3)=8078, a(n)=28*a(n-1)-265*a(n-2)+ 966*a(n-3)- 1080*a(n-4). - Harvey P. Dale, Feb 20 2013

a(n) = -4*2^n/105 +125*5^n/84 -243*9^n/28 +288*12^n/35. R. J. Mathar, Jun 23 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-5x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{28, -265, 966, -1080}, {1, 28, 519, 8078}, 40] (* Harvey P. Dale, Feb 20 2013 *)

Crossrefs

Sequence in context: A028049 A283244 A024442 * A024434 A024440 A024347

Adjacent sequences: A026105 A026106 A026107 * A026109 A026110 A026111

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved