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Search: id:A155170
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| A155170 |
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Triangle sequence:t(n,m)= m! - n! + (-m + n)!. |
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+0 1
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| 1, 1, 1, 1, 0, 1, 1, -3, -3, 1, 1, -17, -20, -17, 1, 1, -95, -112, -112, -95, 1, 1, -599, -694, -708, -694, -599, 1, 1, -4319, -4918, -5010, -5010, -4918, -4319, 1, 1, -35279, -39598, -40194, -40272, -40194, -39598, -35279, 1, 1, -322559, -357838, -362154
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Row sums are:
{1, 2, 2, -4, -52, -412, -3292, -28492, -270412, -2810572, -31840972,...}
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FORMULA
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t(n,m)= m! - n! + (-m + n)!.
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EXAMPLE
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{1},
{1, 1},
{1, 0, 1},
{1, -3, -3, 1},
{1, -17, -20, -17, 1},
{ 1, -95, -112, -112, -95, 1},
{1, -599, -694, -708, -694, -599, 1},
{1, -4319, -4918, -5010, -5010, -4918, -4319, 1},
{1, -35279, -39598, -40194, -40272, -40194, -39598, -35279, 1},
{1, -322559, -357838, -362154, -362736, -362736, -362154, -357838, -322559, 1},
{ 1, -3265919, -3588478, -3623754, -3628056, -3628560, -3628056, -3623754, -3588478, -3265919, 1}
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MATHEMATICA
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Table[Table[ m! - n! + (-m + n)!, {m, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
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Sequence in context: A104378 A075837 A087107 this_sequence A126460 A100940 A063421
Adjacent sequences: A155167 A155168 A155169 this_sequence A155171 A155172 A155173
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KEYWORD
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sign,tabl,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 21 2009
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