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A063379 Number of orbits of the group of units of Z/(n) acting naturally on the 2-subsets of Z/(n). 3
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; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..50.

EXAMPLE

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}.

CROSSREFS

Cf. A065957, A063381, A000005, A056376 + 1, A056371 - 1

Sequence in context: A155749 A198931 A293779 * A000463 A137442 A111390

Adjacent sequences:  A063376 A063377 A063378 * A063380 A063381 A063382

KEYWORD

nonn,more

AUTHOR

W. Edwin Clark, Jul 15 2001

STATUS

approved

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Last modified July 19 22:14 EDT 2019. Contains 325168 sequences. (Running on oeis4.)