login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A337610 Positive integers m such that A126287^k(m) = m for some positive integer k. 4

%I #20 Apr 15 2021 22:53:39

%S 1,10,15,22,26,33,34,46,51,58,65,69,70,82,86,87,94,105,106,118,122,

%T 123,130,134,141,142,146,154,159,166,177,178,190,195,202,206,213,214,

%U 215,218,226,231,238,249,250,254,262,266,267,274,285,286,298,302,303,310

%N Positive integers m such that A126287^k(m) = m for some positive integer k.

%C A126287^k(m) means apply A126287 to m k times.

%C Equivalently, the numbers that belong to a cycle under the map x -> A126287(x).

%C For any term m in this sequence, A126287(A126287(m)) = m.

%C Supersequence of A017641. Moreover, this sequence (excluding the first term) can be represented as an infinite union of arithmetic progressions.

%C There are no primes in this sequence.

%H Ely Golden, <a href="/A337610/b337610.txt">Table of n, a(n) for n = 1..10000</a>

%H Ely Golden, <a href="/A337610/a337610.py.txt">Python program for generating terms of this sequence</a>

%e 10 is a term since A126287(A126287(10)) = A126287(15) = 10.

%Y Cf. A017641, A126287, A337609, A337611, A337612.

%K nonn,easy

%O 1,2

%A _Ely Golden_, Oct 07 2020

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 29 18:33 EDT 2024. Contains 375518 sequences. (Running on oeis4.)