This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A113701 #2 Mar 30 2012 17:27:47 %S A113701 1734,2312,4335,4804,6005,7494,8407,8994,9992,10493,12548,13491,16004, %T A113701 18244,18735,18822,19268,20005,21956,21959,22805,23412,24026,24964, %U A113701 25363,26076,27332,28007,28902,30020,30692,31205,31927,32934,33167 %N A113701 Members of 3-cycles of permutation A111273. %C A113701 Trajectory of n under map k -> A111273(k) is periodic with period length 3. %C A113701 n = A111273(A111273(A111273(n))), n <> A111273(A111273(n)), n <> A111273(n). %C A113701 Apparently A111273 has infinitely many 3-cycles. %C A113701 The only k-cycles with k > 3 and terms < 240000 are the 4-cycles (84326,126489,149487,91992) and (94138,98417,135761,141207), the 6-cycle (4,5,15,8,6,7), the 7-cycle (16,17,51,34,35,30,31) and the 13-cycle (28,29,87,58,59,118,119,68,46,47,94,95,48). %e A113701 A111273(7494) = 18735, A111273(18735) = 9992 and A111273(9992) = 7494, hence %e A113701 7494, 9992 and 18735 are in the sequence. %Y A113701 Cf. A111273, A113659, A113700. %K A113701 nonn %O A113701 1,1 %A A113701 _Klaus Brockhaus_, Nov 08 2005