OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,-3,3,-6,7,-6,6,-6,7,-6,3,-3,3,-1).
FORMULA
G.f.: (3*x^8+5*x^7+11*x^6+11*x^5+13*x^4+10*x^3+8*x^2+2*x+1) / ((x-1)^6*(x^2+x+1)^2*(x^4+x^3+x^2+x+1)).
a(n) = A001402(4n). - Alois P. Heinz, Apr 01 2015
EXAMPLE
For n=1 the 5 partitions of 1*4 = 4 are [4], [1,3], [2,2], [1,1,2] and [1,1,1,1].
PROG
(PARI) concat(1, vector(40, n, k=0; forpart(p=4*n, k++, , [1, 6]); k))
(PARI) Vec((3*x^8+5*x^7+11*x^6+11*x^5+13*x^4+10*x^3+8*x^2+2*x+1) / ((x-1)^6*(x^2+x+1)^2*(x^4+x^3+x^2+x+1)) + O(x^100))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Apr 01 2015
STATUS
approved