A235861 Regular continued fraction expansion of square root of 4729494.
2174, 1, 2, 1, 5, 2, 25, 3, 1, 1, 1, 1, 1, 1, 15, 1, 2, 16, 1, 2, 1, 1, 8, 6, 1, 21, 1, 1, 3, 1, 1, 1, 2, 2, 6, 1, 1, 5, 1, 17, 1, 1, 47, 3, 1, 1, 6, 1, 1, 3, 47, 1, 1, 17, 1, 5, 1, 1, 6, 2, 2, 1, 1, 1, 3, 1, 1, 21, 1, 6, 8, 1, 1, 2, 1, 16, 2, 1, 15, 1, 1, 1, 1, 1, 1, 3, 25, 2, 5, 1, 2, 1, 4348
Offset: 0
Links
- C. Elsner, On Error Sums for Square Roots of Positive Integers with Applications to Lucas and Pell Numbers, J. Int. Seq. 17 (2014) # 14.4.4
- I. Vardi, Archimedes' cattle problem, Am. Math. Monthly 105 (1998), pp. 305-319.
Crossrefs
Cf. A096151.
Programs
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Maple
cfrac(sqrt(4729494),500,quotients);
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Mathematica
ContinuedFraction@ Sqrt@ 4729494 // Flatten (* Robert G. Wilson v, Dec 06 2014 *)
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PARI
default(realprecision, 100); contfrac(sqrt(4729494)) \\ Michel Marcus, Mar 12 2015
Formula
a(n+92) = a(n) for n>0.
Comments