id:A159290 - OEIS Search Results

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A generalized Jacobsthal sequence.

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3, 5, 13, 25, 53, 105, 213, 425, 853, 1705, 3413, 6825, 13653, 27305, 54613, 109225, 218453, 436905, 873813, 1747625, 3495253, 6990505, 13981013, 27962025, 55924053, 111848105, 223696213, 447392425, 894784853, 1789569705, 3579139413 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Sequence generated by the floretion: X*Y with X = 0.5('i + 'j + 'k + 'ee') and Y = 0.5(i' + j' + k' + 'ij' + 'ik' + 'ji' + 'jk' + 'ki' + 'kj' + 'ee')`
	LINKS	`Creighton Dement, Online Floretion Multiplier`
	FORMULA	`a(n) = -1 + (2(-1)^n + 52^(n+1))/3, G.f. (3-x)/(-x^2+1-2x+2x^3)`
	CROSSREFS	`A083943, A068156` `Sequence in context: A027305 A026766 A026709 this_sequence A110494 A098615 A026720` `Adjacent sequences: A159287 A159288 A159289 this_sequence A159291 A159292 A159293`
	KEYWORD	`easy,nonn`
	AUTHOR	`Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 08 2009`

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Last modified December 6 13:45 EST 2009. Contains 170429 sequences.

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