login
A330612
Plain Bob Infinity. Select terms <= n to get a permutation whose powers generate all possible pairs of bells for change ringing.
0
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, 29, 26, 31, 28, 33, 30, 35, 32, 37, 34, 39, 36, 41, 38, 43, 40, 45, 42, 47, 44, 49, 46, 51, 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
OFFSET
1,1
COMMENTS
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.
2 3 5 1 7 4 9 6 8 10 -- The terms <= 10 give a Plain Bob Royal generator.
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.
LINKS
Richard Duckworth and Fabian Stedman, Tintinnalogia, or, the Art of Ringing, (1671). Released by Project Gutenberg, 2006.
Wikipedia, Method ringing
MATHEMATICA
Nest[Insert[Append[#, Max[#] + 1], Max[#] + 2, -3] &, {2, 3, 1}, 39]
CROSSREFS
Sequence in context: A210945 A372112 A191795 * A121053 A203620 A249070
KEYWORD
nonn,easy
AUTHOR
Ed Pegg Jr, Dec 20 2019
STATUS
approved