A028071 Expansion of 1/((1-3x)(1-5x)(1-10x)(1-11x)).

1, 29, 548, 8590, 121551, 1615119, 20584858, 254810960, 3087662501, 36816560209, 433529214768, 5054413691730, 58455083456251, 671574295857299, 7673016284430278, 87260245701154900, 988433749842078801

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29, -293, 1195, -1650).

Formula

a(0)=1, a(1)=29, a(2)=548, a(3)=8590, a(n)=29*a(n-1)-293*a(n-2)+ 1195*a(n-3)- 1650*a(n-4). - Harvey P. Dale, Apr 06 2013

a(n)=(35*11^(n+3)-48*10^(n+3)+28*5^(n+3)-15*3^(n+3))/1680. [Yahia Kahloune, Jun 10 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -293, 1195, -1650}, {1, 29, 548, 8590}, 30] (* Harvey P. Dale, Apr 06 2013 *)

Crossrefs

Sequence in context: A028123 A028082 A028010 * A028070 A028002 A028008

Adjacent sequences: A028068 A028069 A028070 * A028072 A028073 A028074

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved