A028057 Expansion of 1/((1-3x)(1-5x)(1-6x)(1-11x)).

1, 25, 408, 5558, 68999, 813603, 9315286, 104854096, 1168677477, 12952000061, 143075613044, 1577575222314, 17376397872835, 191281848531799, 2104964417048082, 23159869359140612, 254790508985373473, 2802889182202991217, 30832952040578234800, 339169546346404999390

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (25,-217,783,-990).

Formula

a(n) = (11^(n+3)-16*6^(n+3)+20*5^(n+3)-5*3^(n+3))/240. - Yahia Kahloune, Jun 08 2013

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-6x)(1-11x)), {x, 0, 20}], x] (* Harvey P. Dale, Feb 10 2020 *)

Prog

(Magma) [(11^(n+3)-16*6^(n+3)+20*5^(n+3)-5*3^(n+3))/240: n in [0..25]]; // Vincenzo Librandi, Feb 12 2020

Crossrefs

Sequence in context: A048908 A026391 A028044 * A260953 A025998 A024437

Adjacent sequences: A028054 A028055 A028056 * A028058 A028059 A028060

Keyword

nonn

Author

N. J. A. Sloane

Status

approved