id:A099429 - OEIS Search Results

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A Jacobsthal-Lucas convolution.

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0, 0, 2, 3, 12, 25, 66, 147, 344, 765, 1710, 3751, 8196, 17745, 38234, 81915, 174768, 371365, 786438, 1660239, 3495260, 7340025, 15379122, 32156323, 67108872, 139810125, 290805086, 603979767, 1252698804, 2594876065, 5368709130 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: x^2(2-x)(1-x-2x^2)^2; a(n)=sum{k=0..n, J(n-k)(2^(k-1)-(-1)^k+0^k/2)}; a(n)=sum{k=0..n+1, J(n-k)binomial(n-k+1, k)binomial(1, (k+1)/2)(1-(-1)^k)/2}.`
	CROSSREFS	`Cf. A001045, A014551.` `Sequence in context: A140494 A130337 A084728 this_sequence A049601 A148060 A148061` `Adjacent sequences: A099426 A099427 A099428 this_sequence A099430 A099431 A099432`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 15 2004`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

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