OFFSET
0,11
COMMENTS
Number of partitions of n into parts 3, 4, and 10. - Joerg Arndt, Aug 28 2013
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,1,1,0,0,-1,0,0,1,0,0,-1,-1,0,0,1).
FORMULA
a(n) = a(n-3) + a(n-4) - a(n-7) + a(n-10) - a(n-13) - a(n-14) + a(n-17). - R. J. Mathar, Jun 04 2013
MATHEMATICA
CoefficientList[Series[1/((1-x^3)(1-x^4)(1-x^10)), {x, 0, 70}], x] (* Harvey P. Dale, May 03 2021 *)
PROG
(PARI) a(n)=floor((n%3<2)/3+(-1)^(n\5)/10+(2*n^2+34*n+221)/480+(2*n+17)*(-1)^n/160); \\ Tani Akinari, Aug 28 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved