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A155170
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Triangle T(n,m)= m! - n! + (n-m)! read by rows, 0<=m<=n.
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2
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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; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Row sums are 1, 2, 2, -4, -52, -412, -3292, -28492, -270412, -2810572, -31840972,...
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FORMULA
| sum_{m=0..n} T(n,m) = 2*A003422(n+1)-A000142(n+1). - R. J. Mathar, Jun 24 2011
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EXAMPLE
| 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;
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MATHEMATICA
| Table[Table[ m! - n! + (-m + n)!, {m, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
| Sequence in context: A075837 A178885 A087107 * A126460 A173503 A100940
Adjacent sequences: A155167 A155168 A155169 * A155171 A155172 A155173
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KEYWORD
| sign,tabl,easy
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 21 2009
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