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Search: id:A104630
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| A104630 |
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Expansion of x/(1-5x+7x^2-5x^3+x^4). |
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+0
1
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| 0, 1, 5, 18, 60, 198, 655, 2171, 7200, 23880, 79200, 262669, 871145, 2889162, 9581940, 31778622, 105394195, 349541159, 1159257600, 3844692240, 12750969600, 42288749161, 140251162205, 465144722658, 1542658254060, 5116245273558
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Transform of the Fibonacci numbers under the Riordan array (1/(1-x)^2,x(1-x)^2)) (convolution array of natural numbers).
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FORMULA
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a(n)=5a(n-1)-7a(n-2)+5a(n-3)-a(n-4); a(n)=sum{k=0..n, binomial(n+k+1, 2k+1)F(k)}.
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CROSSREFS
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Sequence in context: A034567 A133648 A099449 this_sequence A062809 A122234 A113301
Adjacent sequences: A104627 A104628 A104629 this_sequence A104631 A104632 A104633
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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), Mar 17 2005
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