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A173279
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Irregular triangle read by rows: M(n,k) = (n-2*k)!, k=0..floor(n/2).
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2
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1, 1, 2, 1, 6, 1, 24, 2, 1, 120, 6, 1, 720, 24, 2, 1, 5040, 120, 6, 1, 40320, 720, 24, 2, 1, 362880, 5040, 120, 6, 1, 3628800, 40320, 720, 24, 2, 1, 39916800, 362880, 5040, 120, 6, 1, 479001600, 3628800, 40320, 720, 24, 2, 1, 6227020800, 39916800, 362880, 5040, 120, 6, 1, 87178291200
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OFFSET
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0,3
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COMMENTS
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In the limit as j-> infinity, the power M^j approaches the limit described in A173280.
Row sums: sum_{k=0..n/2} M(n,k) = A136580(n).
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LINKS
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EXAMPLE
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Triangle starts in row n=0 as:
1;
1;
2, 1;
6, 1;
24, 2, 1;
120, 6, 1;
720, 24, 2, 1;
5040, 120, 6, 1;
40320, 720, 24, 2, 1;
362880, 5040, 120, 6, 1;
3628800, 40320, 720, 24, 2, 1;
39916800, 362880, 5040, 120, 6, 1;
479001600, 3628800, 40320, 720, 24, 2, 1;
...
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MAPLE
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A173279 := proc(n, k) factorial(n-2*k) ; end proc: seq(seq(A173279(n, k), k=0..floor(n/2)), n=0..20) ; # R. J. Mathar, Feb 22 2010
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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