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Search: id:A098473
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| A098473 |
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A central binomial scaled binomial matrix. |
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+0
4
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| 1, 1, 2, 1, 4, 6, 1, 6, 18, 20, 1, 8, 36, 80, 70, 1, 10, 60, 200, 350, 252, 1, 12, 90, 400, 1050, 1512, 924, 1, 14, 126, 700, 2450, 5292, 6468, 3432, 1, 16, 168, 1120, 4900, 14112, 25872, 27456, 12870, 1, 18, 216, 1680, 8820, 31752, 77616, 123552, 115830
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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Row sums are A026375. Diagonal sums are A026569. Principal diagonal is A000984.
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FORMULA
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Number triangle T(n, k)=binomial(2k, k)binomial(n, k)
Sum_{k, 0<=k<=n}T(n,k)*x^(n-k) = A126869(n), A002426(n), A000984(n), A026375(n), A081671(n), A098409(n), A098410(n) for x = -2, -1, 0, 1, 2, 3, 4 respectively . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 28 2007
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EXAMPLE
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Rows begin {1}, {1,2}, {1,4,6}, {1,6,18,20},...
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CROSSREFS
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Sequence in context: A062344 A033877 A059369 this_sequence A121757 A109822 A114192
Adjacent sequences: A098470 A098471 A098472 this_sequence A098474 A098475 A098476
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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 09 2004
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