A107249 A number triangle with repeated columns of binomial coefficients.
1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 1, 6, 3, 3, 2, 1, 1, 10, 6, 6, 3, 3, 1, 1, 20, 10, 10, 6, 4, 3, 1, 1, 35, 20, 20, 10, 10, 4, 4, 1, 1, 70, 35, 35, 20, 15, 10, 5, 4, 1, 1, 126, 70, 70, 35, 35, 15, 15, 5, 5, 1, 1, 252, 126, 126, 70, 56, 35, 21, 15, 6, 5, 1, 1, 462, 252, 252, 126, 126
Offset: 0
Examples
Triangle begins 1; 1,1; 1,1,1; 2,1,1,1; 3,2,2,1,1; 6,3,3,2,1,1; 10,6,6,3,3,1,1;
Formula
Number triangle T(n, k)=C(floor((2n-k-2)/2), floor((n-k)/2))
Comments