A021744 Expansion of 1/((1-x)(1-4x)(1-5x)(1-6x)).

1, 16, 167, 1442, 11193, 81228, 563179, 3779974, 24771725, 159439280, 1012078431, 6355276746, 39568060897, 244679845972, 1504794392723, 9213774596558, 56213415403509, 341957238034104, 2075218782238855

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (16,-89,194,-120).

Formula

a(n) = (6^(n+4)-3*5^(n+4)+10*4^(n+3)-1)/60. - Yahia Kahloune, May 07 2013

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 5 x) (1 - 6 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)
LinearRecurrence[{16, -89, 194, -120}, {1, 16, 167, 1442}, 30] (* Harvey P. Dale, Apr 06 2016 *)

Crossrefs

Sequence in context: A125404 A246057 A265598 * A025445 A022740 A205247

Adjacent sequences: A021741 A021742 A021743 * A021745 A021746 A021747

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved