id:A080870 - OEIS Search Results

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a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1.

+0
3

1, 5, 15, 41, 107, 276, 708, 1811, 4629, 11827, 30214, 77182, 197159, 503632, 1286495, 3286264, 8394533, 21443246, 54775263, 139919550, 357414628, 912990471, 2332169791, 5957363305, 15217664544, 38872451165, 99296935817 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Also a(n+1) = floor( (a(n)+1)^(1+1/n) ) + 1; compare A080869.`
	FORMULA	`a(n) = floor(x^n)-1, where x=2.554429495392724...`
	EXAMPLE	`Given a(4)=41, then a(5)=107 because 107^4 > (41+1)^5.`
	CROSSREFS	`Cf. A059923, A080869.` `Adjacent sequences: A080867 A080868 A080869 this_sequence A080871 A080872 A080873` `Sequence in context: A054888 A038066 A113861 this_sequence A102620 A053731 A111295`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Feb 21 2003`

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

AT&T Labs Research