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Search: id:A091594
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| A091594 |
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Triangle read by rows: T(n,m) := sum{k=0..floor((n-m)/2), binomial(n-2k,m)binomial(n-m-k,k)}. |
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1
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| 1, 1, 1, 2, 2, 1, 3, 4, 3, 1, 5, 8, 7, 4, 1, 8, 15, 16, 11, 5, 1, 13, 28, 34, 28, 16, 6, 1, 21, 51, 70, 66, 45, 22, 7, 1, 34, 92, 140, 148, 116, 68, 29, 8, 1, 55, 164, 274, 320, 281, 190, 98, 37, 9, 1, 89, 290, 527, 672, 651, 494, 295, 136, 46, 10, 1, 144, 509, 999, 1379, 1456
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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A Fibonacci related number triangle.
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FORMULA
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k-th column has e.g.f. 1/(1-x-x^2)(x(1-x^2)/(1-x-x^2))^k.
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EXAMPLE
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Rows begin {1}, {1,1}, {2,2,1}, {3,4,3,1}...
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CROSSREFS
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Columns include A000045, A029907, A054455. Row sums are A006054.
Sequence in context: A103923 A061987 A105809 this_sequence A118032 A089692 A066201
Adjacent sequences: A091591 A091592 A091593 this_sequence A091595 A091596 A091597
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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), Jan 23 2004
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