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A091900
Decimal expansion of 1/(exp(2*Pi/sqrt(5))*(sqrt(5)/(1+(5^(3/4)*(phi-1)^(5/2)-1)^(1/5))-phi)).
1
1, 0, 0, 0, 0, 0, 0, 7, 9, 1, 2, 6, 7, 7, 2, 5, 3, 1, 0, 9, 9, 0, 2, 2, 9, 8, 0, 6, 7, 3, 2, 0, 7, 6, 9, 6, 6, 5, 8, 7, 5, 8, 5, 6, 8, 8, 4, 3, 8, 2, 7, 4, 0, 4, 6, 5, 2, 7, 2, 6, 5, 4, 7, 6, 0, 2, 8, 9, 5, 0, 3, 0, 0, 2, 7, 2, 6, 1, 6, 2, 2, 1, 9, 5, 3, 8, 8, 2, 2, 6, 6, 9, 1, 4, 7, 9, 2, 4, 0, 1, 2, 6
OFFSET
1,8
COMMENTS
Has a nice (non-simple) continued fraction due to Ramanujan.
LINKS
Eric Weisstein's World of Mathematics, Ramanujan Continued Fractions
EXAMPLE
1.000000791267725310990229806732076966587585688438274046527265476028950300272616...
PROG
(PARI) phi=(1+sqrt(5))/2; exp(-2*Pi/sqrt(5))/(sqrt(5)/(1+(5^(3/4)*(phi-1)^(5/2)-1)^(1/5))-phi) \\ Charles R Greathouse IV, Jul 29 2011
CROSSREFS
Sequence in context: A120670 A357330 A175638 * A222135 A086318 A244674
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Feb 09 2004
EXTENSIONS
Offset corrected by R. J. Mathar, Feb 05 2009
STATUS
approved