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A145316
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L-matrix for Hankel matrix of aerated factorials.
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0
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1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 4, 0, 1, 0, 6, 0, 6, 0, 1, 6, 0, 18, 0, 9, 0, 1, 0, 24, 0, 36, 0, 12, 0, 1, 24, 0, 96, 0, 72, 0, 16, 0, 1, 0, 120, 0, 240, 0, 120, 0, 20, 0, 1, 120, 0, 600, 0, 600, 0, 200, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Row sums are A056953. Hankel matrix of aerated factorials H=LDU where U=transpose of L. Aerated version of A104557.
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FORMULA
| Triangle T(n,k)=[k<=n]((n-k)/2)!C((n+k)/2-floor(k/2),floor((k+1)/2))C((n+k)/2-floor((k+1)/2),floor(k/2))(1+(-1)^(n-k))/2;
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EXAMPLE
| Triangle begins 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 4, 0, 1, 0, 6, 0, 6, 0, 1, 6, 0, 18, 0, 9, 0, 1, 0, 24, 0, 36, 0, 12, 0, 1, 24, 0, 96, 0, 72, 0, 16, 0, 1
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CROSSREFS
| Sequence in context: A025679 A071491 A156537 * A137298 A136487 A178108
Adjacent sequences: A145313 A145314 A145315 * A145317 A145318 A145319
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Oct 07 2008
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