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

0,2

Comments

Row sums are A082590. Diagonal sums are A106189.

Links

Table of n, a(n) for n=0..54.

Formula

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

Example

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

Crossrefs

Sequence in context: A009279 A059943 A264695 * A028390 A036500 A371824

Adjacent sequences: A112333 A112334 A112335 * A112337 A112338 A112339

Keyword

easy,nonn,tabl

Author

Paul Barry, Sep 04 2005

Status

approved