OFFSET
0,20
FORMULA
Number triangle T(n,k) = binomial(floor(k/2),n-k).
Column k has g.f. x^k*(1+x)^floor(k/2). - Paul Barry, Feb 01 2007
EXAMPLE
Triangle begins
1,
0, 1,
0, 0, 1,
0, 0, 1, 1,
0, 0, 0, 1, 1,
0, 0, 0, 0, 2, 1,
0, 0, 0, 0, 1, 2, 1,
0, 0, 0, 0, 0, 1, 3, 1,
0, 0, 0, 0, 0, 0, 3, 3, 1,
0, 0, 0, 0, 0, 0, 1, 3, 4, 1,
0, 0, 0, 0, 0, 0, 0, 1, 6, 4, 1
MAPLE
A124788 := proc(n, k) binomial(floor(k/2), n-k) ; end: for n from 0 to 20 do for k from 0 to n do printf("%d, ", A124788(n, k)) ; od ; od ; # R. J. Mathar, Feb 10 2007
CROSSREFS
KEYWORD
AUTHOR
Paul Barry, Nov 07 2006
EXTENSIONS
More terms from R. J. Mathar, Feb 10 2007
STATUS
approved