A028162 Expansion of 1/((1-4x)(1-9x)(1-10x)(1-12x)).

1, 35, 783, 14287, 231959, 3494127, 49989031, 689059679, 9238060887, 121247325199, 1565149220999, 19940086389951, 251372353802935, 3141956721674351, 38999543432154087, 481325752085244703

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..925

Index entries for linear recurrences with constant coefficients, signature (35,-442,2352,-4320).

Formula

a(n) = 22*a(n-1) - 120*a(n-2) + (9^(n+1) - 4^(n+1))/5, n >= 2. - Vincenzo Librandi, Mar 16 2011

a(n) = 3*12^(n+1) - 25*10^(n+1)/3 + 3*9^(n+2)/5 - 2^(2*n+2)/15. - R. J. Mathar, Mar 18 2011

Mathematica

LinearRecurrence[{35, -442, 2352, -4320}, {1, 35, 783, 14287}, 20] (* Harvey P. Dale, Nov 22 2014 *)

Crossrefs

Sequence in context: A028194 A004348 A028189 * A028160 A028107 A066553

Adjacent sequences: A028159 A028160 A028161 * A028163 A028164 A028165

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved