

A341362


a(n) begins the first sequence of n consecutive positive integers with the same hvalue and the same dvalue in the Collatz (or '3x + 1') problem.


0



1, 54, 108, 290, 290, 386, 172146, 298200, 596400, 596400, 596400, 795201, 795201, 2849196, 2849196, 8965036, 33659819, 45529226, 52417676, 93186987, 104161282, 104161282, 104161282, 436089218, 436089218, 605581697, 934358530, 934358530, 934358530, 3826876112
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OFFSET

1,2


COMMENTS

The Collatz function is as follows: F(x) = x/2 if x is even, otherwise F(x) = 3*x+1.
It is conjectured that starting from any number, and repeatedly applying the function on its previous result, we will always reach 1.
The dvalue (or flight duration, A006577) is the number of steps needed to reach 1. The hvalue (or flight height, A025586) is the maximum of the number's trajectory.


LINKS



EXAMPLE

a(3) = 108 because 108, 109 and 110 have same dvalue (113) and same hvalue (9232).
And 108 is the smallest number starting such sequence of 3 consecutive positive integers with same dvalue and same hvalue.


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



