OFFSET
0,22
COMMENTS
FORMULA
G.f.=product((1+tx^(2j-1))(1+x^(2j)), j=1..infinity).
EXAMPLE
T(10,4)=2 because we have [6,3,1] and [4,3,2,1].
Triangle starts:
1;
0,1;
1,0,0;
0,1,0,1;
1,0,0,0,1;
0,1,0,1,0,1;
MAPLE
g:=product((1+(t*x)^(2*j-1))*(1+x^(2*j)), j=1..30): gser:=simplify(series(g, x=0, 20)): P[0]:=1: for n from 1 to 15 do P[n]:=sort(coeff(gser, x^n)) od: for n from 0 to 15 do seq(coeff(P[n], t, j), j=0..n) od; # yields sequence in triangular form
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Emeric Deutsch, Feb 22 2006
STATUS
approved