A099429 - OEIS

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A099429

A Jacobsthal-Lucas convolution.

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; refs; listen; history; internal format)

	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 * A049601 A148060 A148061` `Adjacent sequences: A099426 A099427 A099428 * A099430 A099431 A099432`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 15 2004`

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.