id:A079319 - OEIS Search Results

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a(0) = 1; for n > 1, a(n) = 4*a(n-1) - (2^n-1).

+0
7

1, 3, 9, 29, 101, 373, 1429, 5589, 22101, 87893, 350549, 1400149, 5596501, 22377813, 89494869, 357946709, 1431721301, 5726754133, 22906754389, 91626493269, 366504924501, 1466017600853, 5864066209109, 23456256447829 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`D. Singmaster, On the cellular automaton of Ulam and Warburton, preprint, 2003.`
	FORMULA	`G.f.: (1-4x+2x^2)/((1-x)(1-2x)(1-4x)). 2^n+(4^n-1)/3, n>=0.`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, 2^n+(4^n-1)/3)`
	CROSSREFS	`Cf. A079314-A079318.` `a(n) = Sum_{i = 0..2^n - 1} A079314(i).` `Records in A085194.` `Adjacent sequences: A079316 A079317 A079318 this_sequence A079320 A079321 A079322` `Sequence in context: A099780 A006134 A074526 this_sequence A112532 A109432 A060719`
	KEYWORD	`nonn`
	AUTHOR	`njas, Feb 12 2003`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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