A099924 - OEIS

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A099924

Lucas numbers convolved with themselves.

4, 4, 13, 22, 45, 82, 152, 274, 491, 870, 1531, 2676, 4652, 8048, 13865, 23798, 40713, 69446, 118144, 200510, 339559, 573894, 968183, 1630632, 2742100, 4604572, 7721797, 12933334, 21637221, 36159610, 60367976, 100687786 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	REFERENCES	`A. T. Benjamin and J. J. Quinn, Proofs that really count: the art of combinatorial proof, M.A.A. 2003, id. 57.`
	FORMULA	`a(n) = (n+1)L(n) + 2F(n+1) = Sum[k=0..n, L(k)L(n-k) ].` `G.f.: (4-4x-x^2)/[(1-x-x^2)^2].`
	CROSSREFS	`Cf. A001629, A000032. Bisection: A203573 (even), 2A203574 (odd).` `Sequence in context: A127403 A052993 A005301 A147824 A019081 A059443` `Adjacent sequences: A099921 A099922 A099923 * A099925 A099926 A099927`
	KEYWORD	`nonn`
	AUTHOR	`Ralf Stephan, Nov 01 2004`

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.