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Search: id:A155454
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| A155454 |
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Triangle read by rows: t(n,k)= (k! + (-k + n)! - k!*(n - k)!). |
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+0
1
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, -4, -4, 1, 1, 1, 1, -22, -24, -22, 1, 1, 1, 1, -118, -114, -114, -118, 1, 1, 1, 1, -718, -594, -528, -594, -718, 1, 1, 1, 1, -5038, -3594, -2736, -2736, -3594, -5038, 1, 1, 1, 1, -40318, -25194, -16536, -14160
(list; table; graph; listen)
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OFFSET
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0,18
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COMMENT
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Row sums are:
{1, 2, 3, 4, 4, -4, -64, -460, -3148, -22732, -178252,...}.
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FORMULA
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t(n,m)=t(n,m)= (k! + (-k + n)! - k!*(n - k)!)..
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EXAMPLE
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{1},
{1, 1},
{1, 1, 1},
{1, 1, 1, 1},
{1, 1, 0, 1, 1},
{1, 1, -4, -4, 1, 1},
{1, 1, -22, -24, -22, 1, 1},
{1, 1, -118, -114, -114, -118, 1, 1},
{1, 1, -718, -594, -528, -594, -718, 1, 1},
{1, 1, -5038, -3594, -2736, -2736, -3594, -5038, 1, 1},
{1, 1, -40318, -25194, -16536, -14160, -16536, -25194, -40318, 1, 1}
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MATHEMATICA
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Table[Table[(k! + (-k + n)! - k!*(n - k)!), {k, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
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Sequence in context: A010303 A046553 A046552 this_sequence A143484 A047214 A016496
Adjacent sequences: A155451 A155452 A155453 this_sequence A155455 A155456 A155457
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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 22 2009
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