OFFSET
0,4
COMMENTS
Number of partitions of n into parts 1, 3, 8, and 12. - Joerg Arndt, May 22 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1,0,0,0,1,-1,0,-1,2,-1,0,-1,1,0,0,0,-1,1,0,1,-1).
MATHEMATICA
CoefficientList[Series[1/((1-x)(1-x^3)(1-x^8)(1-x^12)), {x, 0, 90}], x] (* Jinyuan Wang, Mar 24 2020 *)
PROG
(PARI) a(n)=round((n+12)*(2*n^2+48*n+179+9*(-1)^n)/3456+[2*(n\2)+12, 1][n%2+1]*(-1)^(n\2)/96-[-2, 1, 1][n%3+1]*(n\3+1)/36) \\ Tani Akinari, May 22 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved