id:A067980 - OEIS Search Results

Search: id:A067980

Displaying 1-1 of 1 results found.

page 1

Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+2), n>=0.

+0
3

3, 13, 31, 69, 140, 274, 519, 963, 1757, 3165, 5642, 9972, 17499, 30521, 52955, 91461, 157336, 269702, 460863, 785295, 1334713, 2263293, 3829846, 6468264, 10905075, 18355429, 30849559, 51776133, 86785892 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Second diagonal of triangle A067979. Second column of triangle A067990.`
	FORMULA	`a(n)= sum(L(k+1)L(n+2-k), k=0..n) = (4n+3)F(n+1)+3(n+1)F(n), with F(n) := A000045(n) (Fibonacci).` `G.f.: (3+x)(1+2*x)/(1-x-x^2)^2.`
	CROSSREFS	`Adjacent sequences: A067977 A067978 A067979 this_sequence A067981 A067982 A067983` `Sequence in context: A051939 A082709 A106090 this_sequence A007686 A058264 A034050`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 15 2002`

page 1

Search completed in 0.002 seconds

Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.

AT&T Labs Research