id:A059903 - OEIS Search Results

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Periodic part of continued fraction for sqrt(n), encoded by raising successive primes to the terms. If sqrt(n)=c0+[c1,c2,c3...] then a(n)=2^c1*3^c2*5^c3*...

+0
2

1, 4, 18, 1, 16, 324, 72030, 162, 1, 64, 5832, 2916, 372027810, 10588410, 1458, 1, 256, 104976, 1036385881030500, 26244, 9421689827550, 4946387159463750, 1556496270, 13122, 1, 1024, 1889568, 2542277241000, 76256028326940, 236196 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Could be made less gigantic by omitting final terms in continued fraction, which are always 2*c0.`
	FORMULA	`a(n)=A059900(A059904(n))`
	EXAMPLE	`sqrt(14)=3+[1,2,1,6] so a(14)=2^13^25^1*7^6=10588410.`
	CROSSREFS	`A059904, A059900, A003285.` `Sequence in context: A041701 A132554 A077275 this_sequence A077109 A070923 A064220` `Adjacent sequences: A059900 A059901 A059902 this_sequence A059904 A059905 A059906`
	KEYWORD	`easy,nonn`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com), Feb 07 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research