OFFSET
0,5
COMMENTS
Number of partitions of n into parts 2, 3, 4, and 7. - Joerg Arndt, Jun 01 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,1,1,1,-1,-1,0,0,0,-1,-1,1,1,1,0,-1).
FORMULA
G.f.: 1 / ((x-1)^4*(x+1)^2*(x^2+1)*(x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)). - Colin Barker, Jun 01 2014
MATHEMATICA
CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^4)(1-x^7)), {x, 0, 60}], x] (* Harvey P. Dale, Aug 29 2011 *)
PROG
(PARI) a(n)=round((n+8)*(2*n^2+32*n+89+63*(-1)^n)/2016+(1-n%3)/9) \\ Tani Akinari, Jun 01 2014
(PARI) Vec(1/((x-1)^4*(x+1)^2*(x^2+1)*(x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)) + O(x^100)) \\ Colin Barker, Jun 01 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Jun 01 2014
STATUS
approved