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A155194
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Triangle read by rows: t(n,m)=If[m*(n - m) == 0, 1, n!*(1 - 1/Binomial[n, m])].
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0
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1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 18, 20, 18, 1, 1, 96, 108, 108, 96, 1, 1, 600, 672, 684, 672, 600, 1, 1, 4320, 4800, 4896, 4896, 4800, 4320, 1, 1, 35280, 38880, 39600, 39744, 39600, 38880, 35280, 1, 1, 322560, 352800, 358560, 360000, 360000, 358560, 352800
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Row sums are {1, 2, 3, 10, 58, 410, 3230, 28034, 267266, 2787842, 31662722,...}
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EXAMPLE
| {1},
{1, 1},
{1, 1, 1},
{1, 4, 4, 1},
{1, 18, 20, 18, 1},
{1, 96, 108, 108, 96, 1},
{1, 600, 672, 684, 672, 600, 1},
{1, 4320, 4800, 4896, 4896, 4800, 4320, 1},
{1, 35280, 38880, 39600, 39744, 39600, 38880, 35280, 1},
{1, 322560, 352800, 358560, 360000, 360000, 358560, 352800, 322560, 1},
{1, 3265920, 3548160, 3598560, 3611520, 3614400, 3611520, 3598560, 3548160, 3265920, 1}
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MATHEMATICA
| Table[Table[ If[m*(n - m) == 0, 1, n!*(1 - 1/Binomial[n, m])], {m, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
| Sequence in context: A174126 A075613 A189150 * A080044 A128433 A089746
Adjacent sequences: A155191 A155192 A155193 * A155195 A155196 A155197
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KEYWORD
| nonn,tabl
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 21 2009
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jan 25 2009
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