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A096921
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Triangle array of binomial coefficients.
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1
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1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 3, 3, 6, 1, 1, 3, 4, 6, 10, 1, 1, 4, 4, 10, 10, 20, 1, 1, 4, 5, 10, 15, 20, 35, 1, 1, 5, 5, 15, 15, 35, 35, 70, 1, 1, 5, 6, 15, 21, 35, 56, 70, 126, 1, 1, 6, 6, 21, 21, 56, 56, 126, 126, 252, 1, 1, 6, 7, 21, 28, 56, 84, 126, 210, 252, 462, 1, 1, 7, 7, 28, 28
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Row sums are A026010. Diagonal sums are A016116. Main diagonal is A001405.
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FORMULA
| T(n, k)=binomial(floor((n+k)/2), floor(k/2))*if(n>=k, 1, 0)
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EXAMPLE
| Rows begin {1}, {1, 1}, {1, 1, 2}, {1, 1, 2, 3}, {1, 1, 3, 3, 6} ...
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CROSSREFS
| Sequence in context: A173265 A157744 A030111 * A037161 A202175 A202176
Adjacent sequences: A096918 A096919 A096920 * A096922 A096923 A096924
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 15 2004
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