A141355 - OEIS

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A141355

The Jacobsthal sequence, dropping each third term.

1, 1, 5, 11, 43, 85, 341, 683, 2731, 5461, 21845, 43691, 174763, 349525, 1398101, 2796203, 11184811, 22369621, 89478485, 178956971, 715827883, 1431655765, 5726623061, 11453246123, 45812984491, 91625968981, 366503875925, 733007751851 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	COMMENTS	`A001045 after removal of the subsequence A132805.`
	LINKS	`Table of n, a(n) for n=0..27.`
	FORMULA	`a(2n+1)-a(2n) = 6A015565(n).` `a(4n+1)=2a(4n)-1. a(4n+2)=4a(4n+1)+1. a(4n+3)=2a(4n+2)+1. a(4n+4)=4a(4n+3)-1.` `a(2n)= A082311(n). a(2n+1) = A082365(n). - R. J. Mathar, Feb 23 2009` `a(n)=7a(n-2)+8a(n-4). G.f.: (1+x-2x^2+4x^3)/((1-8x^2)*(1+x^2)). - R. J. Mathar, Feb 23 2009`
	CROSSREFS	`Sequence in context: A055113 A129015 A209976 * A222368 A222476 A097056` `Adjacent sequences: A141352 A141353 A141354 * A141356 A141357 A141358`
	KEYWORD	`nonn,easy`
	AUTHOR	`Paul Curtz, Aug 03 2008`
	EXTENSIONS	`Edited and extended by R. J. Mathar, Feb 23 2009`
	STATUS	`approved`

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Last modified May 21 21:50 EDT 2013. Contains 225505 sequences.