A028060 Expansion of 1/((1-3x)(1-5x)(1-7x)(1-9x)).

1, 24, 370, 4680, 53011, 560784, 5670820, 55595760, 533237221, 5034115944, 46976235670, 434592270840, 3994583040631, 36537064953504, 332949559310920, 3025434129325920, 27431505237783241, 248303640811921464

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (24,-206,744,-945).

Formula

a(n)=(9^(n+3)-3*7^(n+3)+3*5^(n+3)-3^(n+3))/48. [Yahia Kahloune, Jun 08 2013]

a(0)=1, a(1)=24, a(2)=370, a(3)=4680, a(n)=24*a(n-1)-206*a(n-2)+ 744*a(n-3)- 945*a(n-4). - Harvey P. Dale, Jun 07 2015

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-7x)(1-9x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -206, 744, -945}, {1, 24, 370, 46}, 17] (* Harvey P. Dale, Jun 07 2015 *)

Crossrefs

Sequence in context: A028111 A168304 A053062 * A026326 A028043 A028056

Adjacent sequences: A028057 A028058 A028059 * A028061 A028062 A028063

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved