id:A084576 - OEIS Search Results

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Let y = m/GK(k), where m and k vary over the positive integers and GK(k)=log(1+1/(k*(k+2))/log(2) is the Gauss-Kuzmin distribution of k. Sort the y values by size and number them consecutively by n. This sequence gives the values of n when m=1.

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1, 3, 6, 11, 18, 24, 34, 45, 56, 68, 83, 98, 117, 135, 157, 175, 201, 223, 250, 275, 304, 335, 365, 397, 432, 469, 504, 540, 583, 620, 666, 709, 754, 801, 847, 898, 946, 998, 1055, 1103 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Compare to A084587.`
	EXAMPLE	`At n=1: y=1/GK(1)=2.4094; n=3: y=1/GK(2)=5.8849; n=6: y=1/GK(3)=10.7400;` `n=11: y=1/GK(4)=16.8659; n=18: y=1/GK(5)=24.6050; n=24: y=1/GK(6)=33.6164;` `n=34: y=1/GK(7)=44.0139; n=45: y=1/GK(8)=55.7976; n=56: y=1/GK(9)=68.9675;` `n=68: y=1/GK(10)=83.5237.`
	CROSSREFS	`Cf. A084577-A084587.` `Sequence in context: A013932 A161864 A010335 this_sequence A024667 A025210 A140126` `Adjacent sequences: A084573 A084574 A084575 this_sequence A084577 A084578 A084579`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), May 31 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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