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A110608
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Number triangle T(n,k)=binomial(n,k)*binomial(2n,n-k).
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1
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1, 2, 1, 6, 8, 1, 20, 45, 18, 1, 70, 224, 168, 32, 1, 252, 1050, 1200, 450, 50, 1, 924, 4752, 7425, 4400, 990, 72, 1, 3432, 21021, 42042, 35035, 12740, 1911, 98, 1, 12870, 91520, 224224, 244608, 127400, 31360, 3360, 128, 1, 48620, 393822, 1145664, 1559376
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| First column is A000984. Second column is A110609=n^2*A000108. Row sums are A005809.
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EXAMPLE
| Rows begin
1;
2,1;
6,8,1;
20,45,18,1;
70,224,168,32,1;
252,1050,1200,450,50,1;
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MATHEMATICA
| Flatten[Table[Table[Binomial[n, k]Binomial[2n, n-k], {k, 0, n}], {n, 0, 10}]] (* From Harvey P. Dale, Aug 10 2011 *)
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CROSSREFS
| Sequence in context: A172285 A192232 A193734 * A190015 A112007 A113374
Adjacent sequences: A110605 A110606 A110607 * A110609 A110610 A110611
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 30 2005
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