A028208 Expansion of 1/((1-6x)(1-7x)(1-10x)(1-12x)).

1, 35, 777, 13999, 223769, 3314031, 46600009, 631601663, 8333511417, 107767060687, 1372468494761, 17273924107167, 215413939302745, 2666835630709103, 32824988535796233, 402159883923086911

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (35,-448,2484,-5040)

Formula

a(n) = 22*a(n-1) - 120*a(n-2) + 7^(n+1) - 6^(n+1), n >= 2. - Vincenzo Librandi, Mar 13 2011

a(n) = 12^(n+2)/5 - 9*6^n + 7^(n+3)/15 - 125*10^n/3. - R. J. Mathar, Mar 18 2011

Mathematica

CoefficientList[Series[1/((1-6x)(1-7x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{35, -448, 2484, -5040}, {1, 35, 777, 13999}, 30] (* Harvey P. Dale, Nov 07 2013 *)

Crossrefs

Sequence in context: A028213 A028212 A028196 * A028194 A004348 A028189

Adjacent sequences: A028205 A028206 A028207 * A028209 A028210 A028211

Keyword

nonn

Author

N. J. A. Sloane

Status

approved