OFFSET
1,2
COMMENTS
FORMULA
G.f.=sum(x^i/[(1-x^i)*product(1-t^j*x^j, j=1..i-1), i=1..infinity)].
EXAMPLE
T(6,2)=3 because we have [4,2],[4,1,1] and [2,2,1,1].
Triangle starts:
1;
2;
2,1;
3,1,1;
2,2,2,1;
4,1,3,2,1;
MAPLE
g:=sum(x^i/(1-x^i)/product(1-(t*x)^j, j=1..i-1), i=1..50): gser:=simplify(series(g, x=0, 18)): for n from 1 to 15 do P[n]:=coeff(gser, x^n) od: 1; for n from 2 to 15 do seq(coeff(P[n], t, j), j=0..n-2) od; # yields sequence in triangular form
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Emeric Deutsch, Feb 23 2006
STATUS
approved