id:A059904 - OEIS Search Results

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Periodic part of continued fraction for sqrt(n), encoded by recursively interleaving the bits in the binary expansions of the repeating terms.

+0
3

0, 4, 33, 0, 16, 516, 549755813899, 513, 0, 20, 549, 548, 604462909948052075708555, 549764202537, 545, 0, 64, 8208, 13479973333575319897333507543509815336818572211270286381289293482126 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Could be made less gigantic by omitting final terms in continued fraction, which are always 2*c0.`
	FORMULA	`a(n)=A059884(A059903(n))`
	EXAMPLE	`sqrt(3)=1+[1,2] so a(3) is encoded as:` `.....0 0 0 0 1 -> 1` `....... 1 . 0 .-> 2` `--------------` `.....000100001 = 33.`
	CROSSREFS	`A059903, A059884, A003285.` `Sequence in context: A012092 A027639 A117620 this_sequence A042831 A092207 A133630` `Adjacent sequences: A059901 A059902 A059903 this_sequence A059905 A059906 A059907`
	KEYWORD	`base,easy,nonn`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com), Feb 07 2001`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research