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A104630 Expansion of x/(1-5x+7x^2-5x^3+x^4). 0
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; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

Transform of the Fibonacci numbers under the Riordan array (1/(1-x)^2,x(1-x)^2)) (convolution array of natural numbers).

FORMULA

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)}.

CROSSREFS

Sequence in context: A034567 A133648 A099449 * A062809 A122234 A113301

Adjacent sequences:  A104627 A104628 A104629 * A104631 A104632 A104633

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 17 2005

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Last modified February 16 09:27 EST 2012. Contains 205904 sequences.