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A145118
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Denominator polynomials for continued fraction generating function for n!
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0
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1, 1, 1, -1, 1, -2, 1, -4, 2, 1, -6, 6, 1, -9, 18, -6, 1, -12, 36, -24, 1, -16, 72, -96, 24, 1, -20, 120, -240, 120, 1, -25, 200, -600, 600, -120, 1, -30, 300, -1200, 1800, -720, 1, -36, 450, -2400, 5400, -4320, 720, 1, -42, 630, -4200, 12600, -15120
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Row sums are A056920. T(n,1) gives quarter squares A002620. T(n,2) appears to coincide with 2*A000241(n+1).
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FORMULA
| Number triangle T(n,k)=(-1)^k C(floor((n+1)/2),k)*C(floor(n/2),k)*k!
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EXAMPLE
| Triangle begins 1,
1,
1, -1,
1, -2,
1, -4, 2,
1, -6, 6,
1, -9, 18, -6,
1, -12, 36, -24,
1, -16, 72, -96, 24,
1, -20, 120, -240, 120,
1, -25, 200, -600, 600, -120,
1, -30, 300, -1200, 1800, -720,
1, -36, 450, -2400, 5400, -4320, 720
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CROSSREFS
| Cf. A021010, A008297, A066667, A105278.
Sequence in context: A087738 A133113 A124840 * A124927 A126279 A135837
Adjacent sequences: A145115 A145116 A145117 * A145119 A145120 A145121
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Oct 02 2008
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