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A109089
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Decimal expansion of a = f(1) = f(2) with function f(x) from A109087.
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4
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Continued fraction expansion of a is in A109090. Conjecture: a is transcendental.
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FORMULA
| a in (a, b) = lim(n->infinity)A^n(1, 1) with A(x, y) = (x+y/x, y/x).
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EXAMPLE
| a = 2.8155726498893784774595677676731...
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PROG
| (PARI) N=380; a=1.; b=1; for(i=1, N, b/=a; a+=b); a
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CROSSREFS
| Cf. A109086, A109088.
Sequence in context: A100064 A156029 A120026 * A200479 A198873 A103987
Adjacent sequences: A109086 A109087 A109088 * A109090 A109091 A109092
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Jun 20 2005
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EXTENSIONS
| Offset corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2009
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