A028223 Expansion of 1/((1-7x)(1-8x)(1-10x)(1-12x)).

1, 37, 863, 16241, 269703, 4129041, 59748151, 829986817, 11183795975, 147236359985, 1903757010519, 24269169222753, 305923748441767, 3821741982426769, 47397910610955767, 584393237595955649

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (37, -506, 3032, -6720).

Formula

G.f.: 1/((1-7*x)*(1-8*x)*(1-10*x)*(1-12*x)).

a(n) = (3*12^(n+3)-10^(n+4)+15*8^(n+3)-8*7^(n+3))/120. [Yahia Kahloune, Jun 12 2013]

a(0)=1, a(1)=37, a(2)=863, a(3)=16241, a(n) = 37*a(n-1)-506*a(n-2)+ 3032*a(n-3)- 6720*a(n-4). - Harvey P. Dale, Apr 08 2014

Mathematica

CoefficientList[Series[1/((1-7x)(1-8x)(1-10x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{37, -506, 3032, -6720}, {1, 37, 863, 16241}, 20] (* Harvey P. Dale, Apr 08 2014 *)

Crossrefs

Sequence in context: A251105 A144511 A028225 * A028217 A028215 A028198

Adjacent sequences: A028220 A028221 A028222 * A028224 A028225 A028226

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved