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A155170 Triangle T(n,m)= m! - n! + (n-m)! read by rows, 0<=m<=n. 2
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; text; internal format)
OFFSET

0,8

COMMENTS

Row sums are 1, 2, 2, -4, -52, -412, -3292, -28492, -270412, -2810572, -31840972,...

LINKS

Table of n, a(n) for n=0..48.

FORMULA

sum_{m=0..n} T(n,m) = 2*A003422(n+1)-A000142(n+1). - R. J. Mathar, Jun 24 2011

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;

MATHEMATICA

Table[Table[ m! - n! + (-m + n)!, {m, 0, n}], {n, 0, 10}];

Flatten[%]

CROSSREFS

Sequence in context: A075837 A178885 A087107 * A126460 A173503 A100940

Adjacent sequences:  A155167 A155168 A155169 * A155171 A155172 A155173

KEYWORD

sign,tabl,easy

AUTHOR

Roger L. Bagula, Jan 21 2009

STATUS

approved

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Last modified July 21 18:06 EDT 2019. Contains 325198 sequences. (Running on oeis4.)