

A358882


The number of regions in a Farey diagram of order (n,n).


25



4, 56, 504, 2024, 8064, 18200, 50736, 99248, 202688, 343256, 657904, 983008, 1708672, 2485968, 3755184, 5289944, 8069736, 10539792, 15387320, 19913840
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OFFSET

1,1


COMMENTS

See A358298 and also the linked references for further details.
The first diagram where not all edge points are connected is n = 3. For example a line connecting points (0,1/3) and (1/3,0) has equation 3*y  6*x  1 = 0, and as one of the x or y coefficients is greater than n (3 in this case) the line is not included.


LINKS



FORMULA



CROSSREFS

See A358298 for definition of Farey diagram Farey(m,n).


KEYWORD

nonn,more


AUTHOR



STATUS

approved



