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Search: id:A106515
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| A106515 |
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A Fibonacci-Pell convolution. |
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+0
2
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| 1, 2, 6, 15, 38, 94, 231, 564, 1372, 3329, 8064, 19512, 47177, 114010, 275430, 665247, 1606534, 3879302, 9366735, 22615356, 54601628, 131825377, 318263328, 768369744, 1855031473, 4478479058, 10812064614, 26102729679, 63017720390
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Diagonal sums of A106513.
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FORMULA
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G.f.: (1-x)/((1-x-x^2)(1-2x-x^2); a(n)=sum{k=0..n, Fib(n-k-1)*Pell(k+1)}; a(n)=sum{k=0..floor(n/2), sum{j=0..floor((n-k+1)/2), binomial(n-k+1, 2j+k+1)2^j}}.
a(n) = Pell(n) + Pell(n+1) - Fibonacci(n). - Ralf Stephan, Jun 2 2007
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CROSSREFS
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Adjacent sequences: A106512 A106513 A106514 this_sequence A106516 A106517 A106518
Sequence in context: A098790 A018019 A034518 this_sequence A109545 A120846 A101522
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 05 2005
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