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Search: id:A104881
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| A104881 |
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Number triangle T(n,k)=sum{j=0..k, (n-k)^(k-j)}. |
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+0
2
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| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 13, 15, 5, 1, 1, 6, 21, 40, 31, 6, 1, 1, 7, 31, 85, 121, 63, 7, 1, 1, 8, 43, 156, 341, 364, 127, 8, 1, 1, 9, 57, 259, 781, 1365, 1093, 255, 9, 1, 1, 10, 73, 400, 1555, 3906, 5461, 3280, 511, 10, 1, 1, 11, 91, 585, 2801, 9331, 19531
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Reverse of triangle A104878. Row sums are A104879. Diagonal sums are A104882.
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FORMULA
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Number triangle T(n, k)=if(k<=n, sum{j=0..k, (n-k)^(k-j), 0)}.
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EXAMPLE
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Rows begin {1},{1,1},{1,2,1},{1,3,3,1},{1,4,7,4,1},{1,5,13,15,5,1},..
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CROSSREFS
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Adjacent sequences: A104878 A104879 A104880 this_sequence A104882 A104883 A104884
Sequence in context: A101515 A028657 A053534 this_sequence A104878 A135597 A073134
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 28 2005
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