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a(m) is the smallest positive integer such that A132422(m,n) = A132422(m,n+a(m)) for all n > some value.
2

%I #12 Feb 07 2019 14:44:35

%S 1,2,3,2,3,2,3,4,2,2,3,3,3,2,6,2,4,2,3,3,2,2,3,2,2,7,3,3,3,2,3,4,2,2,

%T 5,2,4,2,3,2,5,3,4,6,2,3,3,5,5,5,3,5,3,3,3,6,2,4,4,2,5,2,2,2,5,3,4,4,

%U 2,5,3,4,3,2,2,4,2,3,3,2,3,2,5,2,3,5,4,2,3,2,5

%N a(m) is the smallest positive integer such that A132422(m,n) = A132422(m,n+a(m)) for all n > some value.

%C Does every sequence A132422(m,n), for fixed m, repeat after some point? If there is a prime > m in A132422(m,n) (for fixed m), then this sequence repeats.

%C Every sequence repeats because its terms are bounded. - _Charlie Neder_, Jan 15 2019

%H Charlie Neder, <a href="/A132423/b132423.txt">Table of n, a(n) for n = 1..1000</a>

%e A132422(8,n) is 1,8,15,14,17,8,15,14,17,8,15,14,17,... So a(8) = 4.

%Y Cf. A132422.

%K nonn

%O 1,2

%A _Leroy Quet_, Aug 20 2007