A028168 Expansion of 1/((1-5x)(1-6x)(1-7x)(1-11x)).

1, 29, 536, 8086, 108927, 1369095, 16458142, 192115232, 2198921813, 24838420321, 278088555108, 3094968268938, 34308450088459, 379311805532507, 4186301510180234, 46149086679258004, 508354507662757665

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (29,-305,1387,-2310).

Formula

a(n) = 29*a(n-1) - 305*a(n-2) + 1387*a(n-3) - 2310*a(n-4), n >= 4. - Vincenzo Librandi, Mar 19 2011

a(n) = 18*a(n-1) - 77*a(n-2) + 6^(n+1) - 5^(n+1), n >= 2. - Vincenzo Librandi, Mar 19 2011

a(n) = 6^(n+3)/5 - 7^(n+3)/8 - 5^(n+3)/12 + 11^(n+3)/120. - R. J. Mathar, Mar 19 2011

Mathematica

CoefficientList[Series[1/((1-5x)(1-6x)(1-7x)(1-11x)), {x, 0, 20}], x] (* Harvey P. Dale, May 09 2018 *)
(* Alternative: *)
LinearRecurrence[{29, -305, 1387, -2310}, {1, 29, 536, 8086}, 20] (* Harvey P. Dale, May 09 2018 *)

Crossrefs

Sequence in context: A028171 A028146 A121046 * A028139 A028137 A028093

Adjacent sequences: A028165 A028166 A028167 * A028169 A028170 A028171

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved