id:A099516 - OEIS Search Results

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A transform of the Pell numbers.

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2

0, 1, 2, 5, 10, 23, 50, 112, 246, 545, 1202, 2658, 5870, 12972, 28656, 63315, 139880, 309049, 682790, 1508527, 3332850, 7363430, 16268356, 35942447, 79409300, 175442668, 387613604, 856372740, 1892023992, 4180136405, 9235369230 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`A transform of A000129 under the mapping g(x)->(1/(1+x^3))g(x/(1+x^3))`
	FORMULA	`G.f.: x/(1-2x-x^2+2x^3-2x^4+x^6); a(n)=2a(n-1)+a(n-2)-2a(n-3)+2a(n-4)-a(n-6); a(n)=sum{k=0..floor(n/3), binomial(n-2k, k)(-1)^k*Pell(n-3k)}.`
	CROSSREFS	`Cf. A099505, A099508.` `Sequence in context: A018344 A087640 A116953 this_sequence A099963 A152784 A112855` `Adjacent sequences: A099513 A099514 A099515 this_sequence A099517 A099518 A099519`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 20 2004`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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