OFFSET
0,5
COMMENTS
Number of partitions of n into parts 2, 3, 4, and 8. - Joerg Arndt, Jul 07 2013
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,1,1,1,-1,-1,-1,1,1,-1,-1,-1,1,1,1,0,-1).
FORMULA
a(n) = floor((2*n^3 + 51*n^2 + 387*n + 1665 + 9*((n^2+17*n+63) + 8*(floor(n/2)+1)*(-1)^floor(n/2))*(-1)^n)/2304). - Tani Akinari, Jul 07 2013
MATHEMATICA
CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^4)(1-x^8)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 18 2020 *)
PROG
(PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^8))+O(x^66)) \\ Joerg Arndt, Jul 07 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved