A099508 - OEIS

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A099508

A transform of the Jacobsthal numbers.

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; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`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 * A141577 A123315 A052407` `Adjacent sequences: A099505 A099506 A099507 * A099509 A099510 A099511`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 20 2004`

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.