A021944 Expansion of 1/((1-x)*(1-4*x)*(1-8*x)*(1-12*x)).

1, 25, 425, 6185, 83241, 1072425, 13462825, 166325545, 2034167081, 24716438825, 299050134825, 3608230161705, 43455812660521, 522726247165225, 6282767285808425, 75473627419962665, 906326894688267561

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (25, -200, 560, -384).

Formula

a(n) = (21*12^(n+3) - 66*8^(n+3) + 77*4^(n+3) - 32)/7392. [Yahia Kahloune, Jun 26 2013]

a(n) = 25*a(n-1)-200*a(n-2)+560*a(n-3)-384*a(n-4). - Wesley Ivan Hurt, May 04 2021

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 8 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)
LinearRecurrence[{25, -200, 560, -384}, {1, 25, 425, 6185}, 20] (* Harvey P. Dale, Dec 15 2014 *)

Crossrefs

Sequence in context: A022456 A020593 A025951 * A299845 A020499 A226712

Adjacent sequences: A021941 A021942 A021943 * A021945 A021946 A021947

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved