

A010499


Decimal expansion of square root of 45.


8



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

1,1


COMMENTS

Continued fraction expansion is 6 followed by {1, 2, 2, 2, 1, 12} repeated (A010135).  Harry J. Smith, Jun 06 2009


LINKS



FORMULA

Equals phi^4  1/phi^4 where phi = A001622 is the golden ratio.
Equals 2*sinh(4*log(phi)). (End)


EXAMPLE

6.708203932499369089227521006193828706321855078834577172812691736231562...


MATHEMATICA



PROG

(PARI) default(realprecision, 20080); x=sqrt(45); for (n=1, 20000, d=floor(x); x=(xd)*10; write("b010499.txt", n, " ", d)); \\ Harry J. Smith, Jun 06 2009


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



