id:A114199 - OEIS Search Results

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Row sums of a Pascal-Fibonacci triangle.

+0
2

1, 2, 4, 8, 17, 38, 87, 200, 458, 1044, 2373, 5388, 12233, 27782, 63112, 143392, 325805, 740266, 1681935, 3821412, 8682310, 19726316, 44818473, 101828344, 231355953, 525645354, 1194276812, 2713420728, 6164945513, 14006877390 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of double Fibonacci sequence A103609(n+2). Row sums of A114197.`
	FORMULA	`G.f.: (1-x)^2/(1-4x+5x^2-2x^3-x^4); a(n)=sum{k=0..n, sum{j=0..n-k, C(n-k, j)C(k, j)F(j)}}; a(n)=sum{k=0..n, C(n, k)F(floor((k+2)/2))}.`
	CROSSREFS	`Sequence in context: A036374 A084635 A154222 this_sequence A006196 A089796 A112482` `Adjacent sequences: A114196 A114197 A114198 this_sequence A114200 A114201 A114202`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Nov 16 2005`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

AT&T Labs Research