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Regard A064413 as giving a permutation of the positive integers; sequence gives first infinite cycle, beginning at its smallest term, 7.
7

%I #12 Dec 15 2020 18:27:42

%S 7,12,18,20,11,15,21,33,17,16,24,25,35,42,46,50,49,56,58,87,92,98,108,

%T 177,188,202,214,228,250,265,417,441,468,507,540,281,297,157,170,182,

%U 97,105,116,183,291,323,340,355,385,400,422,450,469,495,528

%N Regard A064413 as giving a permutation of the positive integers; sequence gives first infinite cycle, beginning at its smallest term, 7.

%H Rémy Sigrist, <a href="/A064665/b064665.txt">Table of n, a(n) for n = 1..400</a>

%H J. C. Lagarias, E. M. Rains and N. J. A. Sloane, <a href="https://arxiv.org/abs/math/0204011">The EKG sequence</a>, arXiv:math/0204011 [math.NT], 2002; Exper. Math. 11 (2002), 437-446.

%H <a href="/index/Ed#EKG">Index entries for sequences related to EKG sequence</a>

%e Permutation has cycles (1) (2) (3, 4, 6, 9, 10, 5) ( ..., 20, 18, 12, 7, 14, 13, 28, 26, ...) (8) ...

%Y Cf. A064413, A064666, A064667, A064668, A064669.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Oct 11 2001