id:A103187 - OEIS Search Results

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a(n) = second term in continued fraction of n-th harmonic number.

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2, 1, 12, 3, 2, 1, 1, 1, 1, 50, 9, 5, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 36, 17, 11, 8, 6, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 483, 71, 38, 26, 20, 16, 13, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5 (list; graph; listen)

	OFFSET	`2,1`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)`
	FORMULA	`a(n) = floor(1/(H(n) - floor(H(n)))), where H(n) = sum{k=1 to n} 1/k.`
	MATHEMATICA	`f[n_] := Block[{h = HarmonicNumber[n]}, Floor[1/(h - Floor[h])]]; Table[ f[n], {n, 2, 99}] (from Robert G. Wilson v Mar 19 2005)`
	CROSSREFS	`Sequence in context: A072512 A118588 A058734 this_sequence A107722 A167128 A048743` `Adjacent sequences: A103184 A103185 A103186 this_sequence A103188 A103189 A103190`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet Mar 18 2005`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 19 2005`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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