A021924 Expansion of 1/((1-x)(1-4x)(1-8x)(1-11x)).

1, 24, 389, 5364, 68025, 821808, 9633613, 110741388, 1256415809, 14127007752, 157849954197, 1755978039972, 19472809159753, 215457395996256, 2380083675784541, 26261340423891516, 289518110311522257

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (24, -187, 516, -352).

Formula

a(0)=1, a(1)=24, a(2)=389, a(3)=5364, a(n)=24*a(n-1)-187*a(n-2)+ 516*a(n-3)- 352*a(n-4). - Harvey P. Dale, Dec 27 2012

a(n) = (14*11^(n+3) - 35*8^(n+3) + 35*4^(n+3) - 14)/2940. [Yahia Kahloune, Jul 05 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-4x)(1-8x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -187, 516, -352}, {1, 24, 389, 5364}, 30] (* Harvey P. Dale, Dec 27 2012 *)

Crossrefs

Sequence in context: A025950 A020584 A025970 * A020494 A020573 A022448

Adjacent sequences: A021921 A021922 A021923 * A021925 A021926 A021927

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved