id:A109089 - OEIS Search Results

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Decimal expansion of a = f(1) = f(2) with function f(x) from A109087.

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5

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

	OFFSET	`1,1`
	COMMENT	`Continued fraction expansion of a is in A109090. Conjecture: a is transcendental.`
	FORMULA	`a in (a, b) = lim(n->infinity)A^n(1, 1) with A(x, y) = (x+y/x, y/x).`
	EXAMPLE	`a = 2.8155726498893784774595677676731...`
	PROGRAM	`(PARI) N=380; a=1.; b=1; for(i=1, N, b/=a; a+=b); a`
	CROSSREFS	`Cf. A109086, A109088.` `Sequence in context: A100064 A156029 A120026 this_sequence A103987 A021359 A109171` `Adjacent sequences: A109086 A109087 A109088 this_sequence A109090 A109091 A109092`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Jun 20 2005`
	EXTENSIONS	`Offset corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2009`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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