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A119836
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Bi-diagonal inverse of [k<=n]*n!/(2k)!.
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1
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1, -2, 2, 0, -24, 12, 0, 0, -360, 120, 0, 0, 0, -6720, 1680, 0, 0, 0, 0, -151200, 30240, 0, 0, 0, 0, 0, -3991680, 665280, 0, 0, 0, 0, 0, 0, -121080960, 17297280, 0, 0, 0, 0, 0, 0, 0, -4151347200, 518918400, 0, 0, 0, 0, 0, 0, 0, 0, -158789030400, 17643225600, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6704425728000, 670442572800
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums are A119837. T(n,n)=A001813(n). T(n,n-1)=2*A001814(n)
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FORMULA
| Triangle T(n,n)=(2n)!/n!,T(n,n-1)=(2n)!/(n-1)!,T(n,k)=0 otherwise.
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EXAMPLE
| Triangle begins
1,
-2, 2,
0, -24, 12,
0, 0, -360, 120,
0, 0, 0, -6720, 1680,
0, 0, 0, 0, -151200, 30240,
0, 0, 0, 0, 0, -3991680, 665280,
0, 0, 0, 0, 0, 0, -121080960, 17297280,
0, 0, 0, 0, 0, 0, 0, -4151347200, 518918400,
0, 0, 0, 0, 0, 0, 0, 0, -158789030400, 17643225600,
0, 0, 0, 0, 0, 0, 0, 0, 0, -6704425728000, 670442572800
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CROSSREFS
| Sequence in context: A134085 A151339 A069521 * A158112 A163534 A030619
Adjacent sequences: A119833 A119834 A119835 * A119837 A119838 A119839
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), May 25 2006
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