OFFSET
1,2
COMMENTS
For the ordering of functions f_n see A215703.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 1..7813
MAPLE
T:= proc(n) T(n):=`if`(n=1, [x], map(h-> x^h, g(n-1$2))) end:
g:= proc(n, i) option remember; `if`(i=1, [x^n], [seq(seq(
seq(mul(T(i)[w[t]-t+1], t=1..j)*v, v=g(n-i*j, i-1)), w=
combinat[choose]([$1..nops(T(i))+j-1], j)), j=0..n/i)])
end:
f:= proc() local i, l; i, l:= 0, []; proc(n) while n>
nops(l) do i:= i+1; l:= [l[], T(i)[]] od; l[n] end
end():
a:= n-> 4!*coeff(series(subs(x=x+1, f(n)), x, 5), x, 4):
seq(a(n), n=1..100);
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 24 2012
STATUS
approved