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Search: id:A107416
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| A107416 |
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Triangle, read by rows: T(0,0) = 1, T(n,k) = F(n+1)*T(n-1,k) + T(n-1,k-1) where F(n+1) is the n+1th Fibonacci number. |
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+0
1
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| 1, 1, -1, 2, -3, 1, 6, -11, 6, -1, 30, -61, 41, -11, 1, 240, -518, 389, -129, 19, -1, 3120, -6974, 5575, -2066, 376, -32, 1, 65520, -149574, 124049, -48961, 9962, -1048, 53, -1, 2227680, -5151036, 4367240, -1788723, 387669, -45594, 2850, -87, 1
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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For n>0, the row sums are 0. For n>1, sum(k=0..n) 2^k*T(n,k) = 0. The first subdiagonal (1,-3,6,-11,19,...) is an alternating signed version of A001911 (Fibonacci numbers - 2). The first row is A003266 (product of Fibonacci numbers).
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CROSSREFS
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Adjacent sequences: A107413 A107414 A107415 this_sequence A107417 A107418 A107419
Sequence in context: A121748 A008275 A130534 this_sequence A105613 A135894 A130850
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KEYWORD
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sign
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AUTHOR
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Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), May 26 2005
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