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Search: id:A107030
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| A107030 |
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Number triangle associated with the Riordan arrays (1/(1+x),x/(1+x)^k),k>=0. |
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+0
3
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| 1, 2, 1, 2, 2, 1, 2, 4, 2, 1, 2, 8, 6, 2, 1, 2, 16, 20, 8, 2, 1, 2, 32, 70, 38, 10, 2, 1, 2, 64, 252, 196, 62, 12, 2, 1, 2, 128, 924, 1062, 426, 92, 14, 2, 1, 2, 256, 3432, 5948, 3112, 792, 128, 16, 2, 1, 2, 512, 12870, 34120, 23686, 7302, 1326, 170, 18, 2, 1, 2, 1024, 48620
(list; table; graph; listen)
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OFFSET
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0,2
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FORMULA
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Number triangle T(n, k)=(k-1)*C(k(n-k), n-k)-(k-2)*sum{j=0..n-k, C(k(n-k), j)}
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EXAMPLE
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Triangle begins
1;
2,1;
2,2,1;
2,4,2,1;
2,8,6,2,1;
2,16,20,8,2,1;
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CROSSREFS
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Reversal of A107027. Row sums are A107028. Diagonal sums are A107031. Columns include A400000, A000079, A000984, A047098.
Sequence in context: A078498 A131240 A107027 this_sequence A050362 A095686 A105258
Adjacent sequences: A107027 A107028 A107029 this_sequence A107031 A107032 A107033
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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), May 09 2005
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