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A112336 A number triangle related to the central binomial coefficients. 2
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 (list; table; graph; refs; listen; history; text; internal format)
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 A077080

Adjacent sequences:  A112333 A112334 A112335 * A112337 A112338 A112339

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Sep 04 2005

STATUS

approved

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Last modified March 4 05:42 EST 2021. Contains 341779 sequences. (Running on oeis4.)