OFFSET
0,2
COMMENTS
The elements of this sequence are the row sums of A185697 (see that sequence for details). The values may be obtained by computing the values of the partition function f(L,1) given there for successive values of L.
The adjoining b-file lists all such values up to L=64.
LINKS
Marcos Simoes, Table of n, a(n) for n = 0..64
FORMULA
Z(L) = Sum_{a=0..L} Sum_{b=0..L} Sum_{c=0..L} ( binomial(L,a) * binomial(L,b) * binomial(L,c) * (2^(L-c)-1)^a * (2^(L-a)-1)^b * (2^(L-b)-1)^c ).
MATHEMATICA
Unprotect[Power]; Power[0, 0]=1; Protect[Power];
Z[L_]:=Sum[Binomial[L, a]*Binomial[L, b]*Binomial[L, c]*(2^(L-c)-1)^a*(2^(L-a)-1)^b*(2^(L-b)-1)^c, {a, 0, L}, {b, 0, L}, {c, 0, L}]
Table[Z[L], {L, 0, 64}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Marcos Simoes, Feb 10 2011
STATUS
approved