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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A365482 In the Collatz (3x+1) problem, values in A006884 for which the maximum excursion ratio (see comments) is greater than 2.

Original entry on oeis.org

27, 319804831, 1410123943, 3716509988199, 9016346070511, 1254251874774375, 10709980568908647, 1980976057694848447
Offset: 1

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Author

Paolo Xausa, Sep 05 2023

Keywords

Comments

Kontorovich and Lagarias (2009, 2010) define the maximum excursion ratio as the ratio between the log of the highest point in the trajectory of the T function (started at x) and the log of x, where T(x) is the 3x+1 function = (3x+1)/2 if x is odd, x/2 if x is even (A014682).
They use data from Oliveira e Silva (2010) to compile Table 3 in their paper, but they omit the a(7) = 10709980568908647 value (cf. also Barina and Roosendall links).
Equivalently, values in A006884 for which A365478(A006884(k)) / A006884(k)^2 > 1, for k >= 1.
See A365483 for corresponding maximum excursion values.

Links

Crossrefs

Subsequence of A006884.
Cf. A014682, A365478, A365483.
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