

A139345


Decimal expansion of sine of the golden ratio. That is, the decimal expansion of sin((1+sqrt(5))/2).


8



9, 9, 8, 8, 8, 4, 5, 0, 9, 0, 9, 4, 8, 8, 4, 7, 9, 8, 8, 3, 3, 2, 6, 8, 2, 4, 2, 6, 3, 0, 1, 2, 9, 0, 4, 4, 6, 3, 8, 6, 5, 1, 1, 9, 2, 1, 2, 7, 0, 5, 7, 4, 4, 3, 4, 5, 5, 3, 9, 9, 6, 6, 8, 8, 1, 0, 7, 1, 8, 2, 3, 9, 1, 8, 2, 7, 9, 9, 5, 4, 0, 9, 2, 6, 6, 8, 5, 3, 3, 6, 0, 4, 0, 4, 4, 6, 0, 2, 7, 1, 8, 5, 2, 1
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OFFSET

0,1


COMMENTS

By the LindemannWeierstrass theorem, this constant is transcendental.  Charles R Greathouse IV, May 13 2019


REFERENCES

Mohammad K. Azarian, Problem 123, Missouri Journal of Mathematical Sciences, Vol. 10, No. 3, Fall 1998, p. 176. Solution published in Vol. 12, No. 1, Winter 2000, pp. 6162.


LINKS

Table of n, a(n) for n=0..103.
Index entries for transcendental numbers


EXAMPLE

sin(A001622) = 0.99888450909488479883...


PROG

(PARI) sin((1+sqrt(5))/2) \\ Charles R Greathouse IV, May 13 2019


CROSSREFS

Cf. A001622, A094214, A104457, A098317, A002390, A139339, A139340, A139341, A139342.
Sequence in context: A019896 A175570 A050812 * A231470 A109942 A197149
Adjacent sequences: A139342 A139343 A139344 * A139346 A139347 A139348


KEYWORD

nonn,cons


AUTHOR

Mohammad K. Azarian, Apr 15 2008


EXTENSIONS

Leading zero removed by R. J. Mathar, Feb 05 2009


STATUS

approved



