id:A090397 - OEIS Search Results

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Number of terms in simple continued fraction for (3/2)^n.

+0
1

1, 2, 2, 4, 2, 5, 7, 6, 10, 8, 8, 5, 8, 13, 7, 10, 13, 10, 11, 10, 14, 19, 15, 13, 12, 13, 16, 17, 15, 11, 17, 24, 21, 29, 23, 18, 23, 24, 26, 31, 28, 26, 29, 31, 24, 31, 28, 26, 20, 18, 18, 23, 30, 33, 36, 36, 31, 33, 38, 37, 35, 37, 29, 40, 43, 45, 39, 37, 40, 39, 42, 47, 41, 33 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 156.`
	FORMULA	`Conjecture : a(n) is asymptotic to cn where c=12(log(2)/Pi)^2=log(2)*Levy's constant=0.58416081665664902187922697....`
	PROGRAM	`(PARI) a(n)=length(contfrac((3/2)^n))`
	CROSSREFS	`Cf. A089729.` `Adjacent sequences: A090394 A090395 A090396 this_sequence A090398 A090399 A090400` `Sequence in context: A139555 A088371 A133181 this_sequence A054704 A143525 A082174`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 31 2004`

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

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