OFFSET
0,2
COMMENTS
FORMULA
Square array T(n, k) = Sum_{j=0..floor(n/2)} C(n, j)*C(2(n-j), n)*k^j.
Number triangle T1(n, k) = Sum_{j=0..floor((n-k)/2)} C(n-k, j)*C(2(n-k-j), n-k)*k^j;
EXAMPLE
As a square array, rows start
1, 1, 1, 1, 1, ...
2, 2, 2, 2, 2, ...
6, 8, 10, 12, 14, 16, ...
20, 32, 44, 56, 68, 80, ...
70, 136, 214, 304, 406, 520, ...
252, 592, 1052, 1632, 2332, 3152, ...
As a number triangle, rows start
1;
2, 1;
6, 2, 1;
20, 8, 2, 1;
70, 30, 10, 2, 1;
252, 136, 44, 12, 2, 1;
CROSSREFS
KEYWORD
AUTHOR
Paul Barry, Jul 13 2005
STATUS
approved