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Search: id:A112336
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| A112336 |
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A number triangle related to the central binomial coefficients. |
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+0
3
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A082590. Diagonal sums are A106189.
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FORMULA
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Number triangle T(n, k)=2^k*binomial(2(n-k), n-k); Column k has g.f. (2x)^k/sqrt(1-4x).
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EXAMPLE
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Triangle begins
1;
2,2;
6,4,4;
20,12,8,8;
70,40,24,16,16;
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CROSSREFS
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Sequence in context: A134458 A009279 A059943 this_sequence A028390 A036500 A077080
Adjacent sequences: A112333 A112334 A112335 this_sequence A112337 A112338 A112339
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Sep 04 2005
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