OFFSET
0,2
COMMENTS
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..10000
EXAMPLE
Triangle begins:
1;
2, 1;
3, 3, 1;
4, 6, 5, 1;
5, 10, 15, 8, 1;
6, 15, 35, 36, 12, 1;
7, 21, 70, 120, 78, 17, 1;
8, 28, 126, 330, 364, 153, 23, 1;
9, 36, 210, 792, 1365, 969, 276, 30, 1; ...
MATHEMATICA
Flatten[Table[Binomial[(k(k+1))/2+n-k+1, n-k], {n, 0, 10}, {k, 0, n}]] (* Harvey P. Dale, Mar 18 2013 *)
PROG
(PARI) T(n, k)=if(n<k||k<0, 0, binomial(k*(k+1)/2+n-k+1, n-k))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Paul D. Hanna, Aug 25 2006
STATUS
approved