id:A099879 - OEIS Search Results

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Decimal expansion of a nested radical: sqrt(1^2 + sqrt(2^2 + sqrt(3^2 + ...

+0
5

1, 9, 4, 2, 6, 5, 5, 4, 2, 2, 7, 6, 3, 9, 8, 7, 3, 2, 8, 2, 2, 1, 4, 1, 3, 2, 9, 1, 4, 1, 2, 6, 6, 7, 2, 3, 7, 6, 8, 8, 0, 7, 3, 6, 3, 0, 0, 0, 7, 1, 1, 5, 5, 1, 5, 1, 0, 0, 5, 6, 9, 5, 6, 1, 7, 7, 7, 6, 3, 2, 2, 3, 0, 8, 8, 9, 3, 4, 3, 4, 6, 5, 9, 7, 1, 5, 3, 2, 0, 8, 0, 6, 7, 5, 0, 1, 6, 8, 5, 3, 9, 8, 0 (list; cons; graph; listen)

	OFFSET	`1,2`
	EXAMPLE	`1.94265542276398732822141329141266723768807363...`
	MATHEMATICA	`k = 64; r = 65; While[k > 0, r = Sqrt[k^2 + r]; k-- ]; RealDigits[r, 10, 111][[1]] (from Robert G. Wilson v Nov 04 2004)`
	PROGRAM	`(PARI) t=0:forstep(n=100, 1, -1, t=sqrt(t+n^2)):print(t)`
	CROSSREFS	`Cf. A072449, A099874, A099876 to A099878 for other nested radicals.` `Sequence in context: A011313 A122952 A039663 this_sequence A126774 A050016 A033329` `Adjacent sequences: A099876 A099877 A099878 this_sequence A099880 A099881 A099882`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 03 2004`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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