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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 (list; constant; graph; refs; listen; history; text; internal format)
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 3 * A002163. - Amiram Eldar, May 25 2023
From Andrea Pinos, Nov 01 2023: (Start)
Equals phi^4 - 1/phi^4 where phi = A001622 is the golden ratio.
Equals 2*sinh(4*log(phi)). (End)
EXAMPLE
6.708203932499369089227521006193828706321855078834577172812691736231562...
MATHEMATICA
RealDigits[N[Sqrt[45], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 24 2011 *)
PROG
(PARI) default(realprecision, 20080); x=sqrt(45); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010499.txt", n, " ", d)); \\ Harry J. Smith, Jun 06 2009
CROSSREFS
Cf. A010135 (continued fraction), A248271 (Egyptian fractions).
Cf. A020802 (reciprocal), A002163, A001622.
Sequence in context: A224238 A227718 A198932 * A218012 A195714 A247043
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved

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Last modified May 18 12:18 EDT 2024. Contains 372630 sequences. (Running on oeis4.)