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Search: id:A119832
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| A119832 |
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Bi-diagonal inverse of (3n)!/(3k)!. |
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+0
2
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| 1, -6, 1, 0, -120, 1, 0, 0, -504, 1, 0, 0, 0, -1320, 1, 0, 0, 0, 0, -2730, 1, 0, 0, 0, 0, 0, -4896, 1, 0, 0, 0, 0, 0, 0, -7980, 1, 0, 0, 0, 0, 0, 0, 0, -12144, 1, 0, 0, 0, 0, 0, 0, 0, 0, -17550, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24360, 1
(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-A054776(n). Inverse of A119831.
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FORMULA
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Column k has g.f. x^k(1-b(k+1)x) where b(n)=3n(3n-2)(3n-1)=A054776(n).
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EXAMPLE
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Triangle begins
1,
-6, 1,
0, -120, 1,
0, 0, -504, 1,
0, 0, 0, -1320, 1,
0, 0, 0, 0, -2730, 1,
0, 0, 0, 0, 0, -4896, 1,
0, 0, 0, 0, 0, 0, -7980, 1,
0, 0, 0, 0, 0, 0, 0, -12144, 1,
0, 0, 0, 0, 0, 0, 0, 0, -17550, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, -24360, 1
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CROSSREFS
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Sequence in context: A127573 A137388 A114153 this_sequence A166141 A087253 A143532
Adjacent sequences: A119829 A119830 A119831 this_sequence A119833 A119834 A119835
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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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