id:A088341 - OEIS Search Results

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Numbers n such that frac(x^n)=frac(x^2*frac(x^(n-2))) where x=3/2 and frac(x) denotes the fractional part of x.

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0, 1, 18, 21, 28, 38, 42, 45, 46, 49, 51, 52, 56, 58, 62, 69, 74, 77, 79, 81, 82, 83, 86, 88, 93, 101, 103, 104, 107, 110, 113, 125, 128, 136, 140, 147, 158, 159, 164, 165, 173, 178, 180, 190, 193, 195, 196, 197, 198, 200, 203, 206, 210, 217, 218, 231, 233, 238, 241 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(n) appears to be asymptotic to 4n.` `More generally the sequence (a(k)) of k such that frac(x^k)=frac(x^mfrac(x^(k-m))) for x=p/q>1 rational and m fixed integer appears to be asymptotic to q^m*k.`
	CROSSREFS	`Adjacent sequences: A088338 A088339 A088340 this_sequence A088342 A088343 A088344` `Sequence in context: A066240 A115747 A001101 this_sequence A105145 A120416 A090891`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 07 2003`

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

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