id:A100941 - OEIS Search Results

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Decimal expansion of the nested surd Sqrt[Pi + Sqrt[Pi + Sqrt[Pi + ...]]].

+0
2

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

	OFFSET	`1,1`
	FORMULA	`This is the solution of the quadratic equation y^2-y-Pi=0.`
	EXAMPLE	`2.34162771851147843176658606229695567871260854774401...`
	PROGRAM	`(PARI) default(realprecision, 100):t=0:for(n=1, 5000, t=sqrt(t+Pi)):return(t)`
	CROSSREFS	`Cf. A100942 for continued fraction.` `Sequence in context: A066262 A069817 A071439 this_sequence A082119 A129708 A071518` `Adjacent sequences: A100938 A100939 A100940 this_sequence A100942 A100943 A100944`
	KEYWORD	`cons,nonn`
	AUTHOR	`Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 23 2004`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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