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Search: id:A063379
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| A063379 |
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Number of orbits of the group of units of Z/(n) acting naturally on the 2-subsets of Z/(n). |
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+0
4
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| 1, 2, 4, 3, 9, 4, 11, 8, 13, 6, 25, 7, 17, 18, 24, 9, 33, 10, 35, 23, 25, 12, 59, 18, 29, 26, 45, 15, 71, 16, 49, 33, 37, 32, 86, 19, 41, 38, 81, 21, 91, 22, 65, 61, 49, 24, 123, 32, 73
(list; graph; listen)
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OFFSET
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2,2
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EXAMPLE
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a(3) = 2 since when U(3) = {1,2} acts naturally on the three 2-subsets {0,1}, {0,2}, {1,2} of Z/(3) the orbits are {{0,1},{0,2}} and {{1,2}}. Note that 2{0,1} = {0,2} but there is no unit a in U(3) such that a{0,1} = {1,2}.
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CROSSREFS
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Cf. A065957, A063381, A000005, A056376 + 1, A056371 - 1
Sequence in context: A077632 A021045 A155749 this_sequence A000463 A137442 A111390
Adjacent sequences: A063376 A063377 A063378 this_sequence A063380 A063381 A063382
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KEYWORD
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nonn,more
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AUTHOR
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W. Edwin Clark (eclark(AT)math.usf.edu), Jul 15 2001
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