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A155170 Triangle sequence:t(n,m)= m! - n! + (-m + n)!. +0
1
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)
OFFSET

0,8

COMMENT

Row sums are:

{1, 2, 2, -4, -52, -412, -3292, -28492, -270412, -2810572, -31840972,...}

FORMULA

t(n,m)= m! - n! + (-m + n)!.

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},

{ 1, -3265919, -3588478, -3623754, -3628056, -3628560, -3628056, -3623754, -3588478, -3265919, 1}

MATHEMATICA

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

Flatten[%]

CROSSREFS

Sequence in context: A104378 A075837 A087107 this_sequence A126460 A100940 A063421

Adjacent sequences: A155167 A155168 A155169 this_sequence A155171 A155172 A155173

KEYWORD

sign,tabl,uned

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 21 2009

page 1

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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