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%I #12 Oct 13 2022 12:31:52
%S 2,3,5,1,7,4,9,6,11,8,13,10,15,12,17,14,19,16,21,18,23,20,25,22,27,24,
%T 29,26,31,28,33,30,35,32,37,34,39,36,41,38,43,40,45,42,47,44,49,46,51,
%U 48,53,50,55,52,57,54,59,56,61,58,63,60,65,62,67,64,69,66,71,68,73,70,75,72,77,74,79,76,81,78,80
%N Plain Bob Infinity. Select terms <= n to get a permutation whose powers generate all possible pairs of bells for change ringing.
%C Powers of permutation 235174968, taken in the initial four pairs of 2, generate all 36 pairs of 9 bells, making this a Plain Bob Caters rule. Words for three to twelve bells are Singles, Minimus, Doubles, Minor, Triples, Major, Caters, Royal, Cinques and Maximus.
%C 2 3 5 1 7 4 9 6 8 10 -- The terms <= 10 give a Plain Bob Royal generator.
%C 2 3 5 1 7 4 6 8 -- The terms <= 8 give a Plain Bob Major generator: 23 51 74 68, 35 72 61 48, 57 63 42 18, 76 45 13 28, 64 17 25 38, 41 26 37 58, 12 34 56 78.
%H Richard Duckworth and Fabian Stedman, <a href="http://www.gutenberg.org/files/18567/18567-h/18567-h.htm">Tintinnalogia, or, the Art of Ringing</a>, (1671). Released by Project Gutenberg, 2006.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Method_ringing">Method ringing</a>
%t Nest[Insert[Append[#, Max[#] + 1], Max[#] + 2, -3] &, {2, 3, 1}, 39]
%K nonn,easy
%O 1,1
%A _Ed Pegg Jr_, Dec 20 2019
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