id:A099508 - OEIS Search Results

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A transform of the Jacobsthal numbers.

+0
3

0, 1, 1, 3, 3, 8, 9, 21, 25, 54, 68, 139, 183, 358, 489, 924, 1301, 2390, 3450, 6194, 9126, 16080, 24093, 41805, 63507, 108817, 167188, 283533, 439689, 739391, 1155384, 1929504, 3033991, 5038089, 7962758, 13161067, 20889012, 34394215, 54778872 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`A transform of A001045 under the mapping g(x)->(1/(1+x^3))g(x/(1+x^3)).`
	FORMULA	`G.f.: x/(1-x-2x^2+2x^3-x^4+x^6); a(n)=a(n-1)+2a(n-2)-2a(n-3)+a(n-4)-a(n-6); a(n)=sum{k=0..floor(n/3), binomial(n-2k, k)(-1)^k*J(n-3k)}.`
	CROSSREFS	`Cf. A099505.` `Sequence in context: A092549 A022663 A092481 this_sequence A141577 A123315 A052407` `Adjacent sequences: A099505 A099506 A099507 this_sequence A099509 A099510 A099511`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 20 2004`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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