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Search: id:A107249
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| A107249 |
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A number triangle with repeated columns of binomial coefficients. |
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+0
2
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| 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
(list; table; graph; listen)
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OFFSET
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0,7
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COMMENT
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Reversal of A096921. Row sums are A026010. Diagonal sums are 107250.
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FORMULA
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Number triangle T(n, k)=C(floor((2n-k-2)/2), floor((n-k)/2))
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EXAMPLE
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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;
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CROSSREFS
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Sequence in context: A047040 A047020 A127832 this_sequence A062842 A126805 A110963
Adjacent sequences: A107246 A107247 A107248 this_sequence A107250 A107251 A107252
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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), May 14 2005
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