id:A084170 - OEIS Search Results

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Generalized Jacobsthal numbers.

+0
4

1, 2, 6, 12, 26, 52, 106, 212, 426, 852, 1706, 3412, 6826, 13652, 27306, 54612, 109226, 218452, 436906, 873812, 1747626, 3495252, 6990506, 13981012, 27962026, 55924052, 111848106, 223696212, 447392426, 894784852, 1789569706, 3579139412 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`A084170(n+1)-A000975(n+2)=A000975(n); (a(2n+1)-2)/10=A000975(n); (a(2n+2)-6)/20=A000975(n).`
	FORMULA	`a(n)=a(n-1)+2a(n-2)+2, a(0)=1, a(1)=2; a(n)=5*2^n/3+(-1)^n/3-1; G.f.:(1+x^2)/((1+x)(1-x)(1-2x)); E.g.f.: 5exp(2x)/3-exp(x)+exp(-x)/3.`
	CROSSREFS	`Adjacent sequences: A084167 A084168 A084169 this_sequence A084171 A084172 A084173` `Sequence in context: A136515 A141347 A054454 this_sequence A052971 A029863 A091919`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 18 2003`

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.

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