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a(0) = 1, and for any n > 0, a(n) = A341458(a(n-1), n).
1

%I #10 Feb 14 2021 14:50:14

%S 1,1,2,5,8,4,2,8,1,9,25,116,8,117,25,16,1,17,25,108,8,109,25,24,1,25,

%T 2,29,8,28,2,32,1,33,97,92,8,93,97,40,1,41,122,45,8,44,122,48,1,49,

%U 122,53,8,52,122,56,1,57,97,68,8,69,97,64,1,65,97,60,8,61

%N a(0) = 1, and for any n > 0, a(n) = A341458(a(n-1), n).

%C This sequence is an analog of the factorial function for the group described in A341458, and has interesting graphical features.

%H Rémy Sigrist, <a href="/A341488/b341488.txt">Table of n, a(n) for n = 0..32769</a>

%H Rémy Sigrist, <a href="/A341488/a341488.gp.txt">PARI program for A341488</a>

%F Apparently:

%F - a(n) = 1 iff n = 1 or n belongs to A008590,

%F - a(n) = n iff n belongs to A017077.

%o (PARI) See Links section.

%Y Cf. A000142, A008590, A017077, A341458.

%K nonn,look,base

%O 0,3

%A _Rémy Sigrist_, Feb 13 2021