id:A099924 - OEIS Search Results

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Lucas numbers convolved with themselves.

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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; listen)

	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.` `Sequence in context: A127403 A052993 A005301 this_sequence A019081 A059443 A097335` `Adjacent sequences: A099921 A099922 A099923 this_sequence A099925 A099926 A099927`
	KEYWORD	`nonn`
	AUTHOR	`Ralf Stephan, Nov 01 2004`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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