OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (23,-166,432,-288).
FORMULA
a(n) = 3*12^(n+1)/11 -3*6^(n+1)/5 +2^(2*n+2)/3 -1/165. - R. J. Mathar, Mar 15 2011
a(0)=1, a(1)=23, a(2)=363, a(3)=4963, a(n)=23a(n-1)-166a(n-2)+ 432a(n-3)- 288a(n-4) [From Harvey P. Dale, May 11 2011]
MATHEMATICA
CoefficientList[Series[1/((1-x)(1-4x)(1-6x)(1-12x)), {x, 0, 40}], x] (* or *) LinearRecurrence[{23, -166, 432, -288}, {1, 23, 363, 4963}, 40] (* Harvey P. Dale, May 11 2011 *)
PROG
(PARI) Vec(1/((1-x)*(1-4*x)*(1-6*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved