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, 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

Table of n, a(n) for n=1..102.

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

1/A091668.

Sequence in context: A120670 A357330 A175638 * A222135 A377622 A086318

Adjacent sequences: A091897 A091898 A091899 * A091901 A091902 A091903

Keyword

nonn,cons

Author

Eric W. Weisstein, Feb 09 2004

Extensions

Offset corrected by R. J. Mathar, Feb 05 2009

Status

approved