A028058 Expansion of 1/((1-3x)(1-5x)(1-6x)(1-12x)).

1, 26, 445, 6410, 84781, 1071986, 13229485, 161139770, 1948959661, 23484063746, 282412377325, 3392692006730, 40735374508141, 488965966028306, 5868455675537965, 70426728878067290, 845152692571634221

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (26, -231, 846, -1080).

Formula

a(0)=1, a(1)=26, a(2)=445, a(3)=6410, a(n)=26*a(n-1)-231*a(n-2)+ 846*a(n-3)- 1080*a(n-4). - Harvey P. Dale, Dec 06 2012

a(n)=(2*12^(n+3)-42*6^(n+3)+54*5^(n+3)-14*3^(n+3))/756. - Yahia Kahloune, Jun 08 2013

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-6x)(1-12x)), {x, 0, 30}], x] (* Harvey P. Dale, Dec 06 2012 *)
(* Alternative: *)
LinearRecurrence[{26, -231, 846, -1080}, {1, 26, 445, 6410}, 30] (* Harvey P. Dale, Dec 06 2012 *)

Prog

(PARI) a(n)=(3456*12^n+6750*5^n-378*3^n)/756-12*6^n \\ Charles R Greathouse IV, Jun 02 2026

Crossrefs

Sequence in context: A288714 A024438 A025999 * A331881 A024170 A028042

Adjacent sequences: A028055 A028056 A028057 * A028059 A028060 A028061

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved