A112336 A number triangle related to the central binomial coefficients.

1, 2, 2, 6, 4, 4, 20, 12, 8, 8, 70, 40, 24, 16, 16, 252, 140, 80, 48, 32, 32, 924, 504, 280, 160, 96, 64, 64, 3432, 1848, 1008, 560, 320, 192, 128, 128, 12870, 6864, 3696, 2016, 1120, 640, 384, 256, 256, 48620, 25740, 13728, 7392, 4032, 2240, 1280, 768, 512, 512

Offset: 0

Author

Paul Barry, Sep 04 2005

Keywords

• easy
• nonn
• tabl

Comments

Row sums are A082590. Diagonal sums are A106189.

Examples

			Triangle begins
1;
2,2;
6,4,4;
20,12,8,8;
70,40,24,16,16;
		

Formula

Number triangle T(n, k)=2^k*binomial(2(n-k), n-k); Column k has g.f. (2x)^k/sqrt(1-4x).