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Search: id:A124237
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| A124237 |
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Riordan array (1/(1-2x), x/((1-x)(1-2x))). |
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+0
2
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| 1, 2, 1, 4, 5, 1, 8, 17, 8, 1, 16, 49, 39, 11, 1, 32, 129, 150, 70, 14, 1, 64, 321, 501, 338, 110, 17, 1, 128, 769, 1524, 1375, 640, 159, 20, 1, 256, 1793, 4339, 4973, 3075, 1083, 217, 23, 1, 512, 4097, 11762, 16508
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A007052. Diagonal sums are F(2n+1)=A001519(n+1)=A122367(n). Product of A007318 and Delannoy triangle A008288.
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FORMULA
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Number triangle T(n,k)=sum{j=0..n-k, C(n-j,k)C(n+k,j)}
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EXAMPLE
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Triangle begins
1,
2, 1,
4, 5, 1,
8, 17, 8, 1,
16, 49, 39, 11, 1,
32, 129, 150, 70, 14, 1
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CROSSREFS
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Sequence in context: A102661 A121574 A117317 this_sequence A123876 A114164 A126182
Adjacent sequences: A124234 A124235 A124236 this_sequence A124238 A124239 A124240
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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), Oct 22 2006
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