id:A090857 - OEIS Search Results

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a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 2^n is equal to 3^n.

+0
2

1, 5, 17, 59, 203, 690, 2308, 7621, 24913, 80794, 260303, 834057, 2660049, 8449715, 26747224, 84407894, 265647824, 834016199, 2612728134, 8168761695, 25494031748, 79434416090, 247130166428, 767788267178, 2382328079245 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`floor( agm(a(n), 2^n) ) = 3^n, for n>=0.`
	EXAMPLE	`a(6)=2308 since floor(agm(2308,2^6))=729=3^6, but floor(agm(2307,2^6))=728.`
	CROSSREFS	`Cf. A090852, A090855, A090856.` `Sequence in context: A009229 A010914 A105392 this_sequence A149657 A149658 A149659` `Adjacent sequences: A090854 A090855 A090856 this_sequence A090858 A090859 A090860`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Dec 10 2003`

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.

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