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Search: id:A119830
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| A119830 |
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Bi-diagonal inverse of (2n)!/(2k)!. |
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+0
2
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| 1, -2, 1, 0, -12, 1, 0, 0, -30, 1, 0, 0, 0, -56, 1, 0, 0, 0, 0, -90, 1, 0, 0, 0, 0, 0, -132, 1, 0, 0, 0, 0, 0, 0, -182, 1, 0, 0, 0, 0, 0, 0, 0, -240, 1, 0, 0, 0, 0, 0, 0, 0, 0, -306, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -380, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -462, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -552, 1, 0, 0, 0, 0, 0, 0
(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 1-2n(n-1)=1-b(n). Inverse of A119828.
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FORMULA
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Column k has g.f. x^k(1-b(k+1)x) where b(n)=2n(2n-1).
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EXAMPLE
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Triangle begins
1,
-2, 1,
0, -12, 1,
0, 0, -30, 1,
0, 0, 0, -56, 1,
0, 0, 0, 0, -90, 1,
0, 0, 0, 0, 0, -132, 1,
0, 0, 0, 0, 0, 0, -182, 1,
0, 0, 0, 0, 0, 0, 0, -240, 1,
0, 0, 0, 0, 0, 0, 0, 0, -306, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, -380, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -462, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -552, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -650, 1
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CROSSREFS
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Sequence in context: A021478 A115563 A010107 this_sequence A039910 A129467 A129065
Adjacent sequences: A119827 A119828 A119829 this_sequence A119831 A119832 A119833
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 25 2006
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