OFFSET
10,5
LINKS
Alois P. Heinz, Table of n, a(n) for n = 10..1000
FORMULA
G.f.: (x^10/(1-x^10)^2-x^11/(1-x^11)^2)/Product_{i>=1}(1-x^i).
a(n) ~ 21 * sqrt(3) * exp(Pi*sqrt(2*n/3)) / (24200 * Pi^2). - Vaclav Kotesovec, May 29 2018
MAPLE
b:= proc(n, p) option remember; `if`(n=0, [1, 0], `if`(p<1, [0, 0],
add((l->`if`(m=10, l+[0, l[1]*p], l))(b(n-p*m, p-1)), m=0..n/p)))
end:
a:= n-> b(n, n)[2]:
seq(a(n), n=10..60);
MATHEMATICA
b[n_, p_] := b[n, p] = If[n == 0 && p == 0, {1, 0}, If[p == 0, Array[0&, n+2], Sum[Function[l, ReplacePart[l, m+2 -> p*l[[1]] + l[[m+2]]]][Join[b[n-p*m, p-1], Array[0&, p*m]]], {m, 0, n/p}]]]; a[n_] := b[n, n][[12]]; Table[a[n], {n, 10, 60}] (* Jean-François Alcover, Jan 24 2014, after Alois P. Heinz *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 03 2013
STATUS
approved