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Residues modulo 24 of curvatures in the Apollonian circle packing A042944.
1

%I #11 Aug 11 2020 10:14:03

%S 2,3,6,11,14,15,18,23

%N Residues modulo 24 of curvatures in the Apollonian circle packing A042944.

%C Fuchs and Sanden proved that all curvatures in the Apollonian circle packing -1, 2, 3, 6 are congruent mod 24 to either 2, 3, 6, 11, 14, 15, 18, or 23.

%C Additional comments and links are in A189226.

%H E. Fuchs and K. Sanden, <a href="http://arxiv.org/abs/1001.1406">Some experiments with integral Apollonian circle packings</a>, arXiv:1001.1406 [math.NT], 2010; Experiment. Math., 20 (2011), 380-399.

%Y Cf. A042944, A042945, A189226, A218155.

%K nonn,fini,full

%O 1,1

%A _Jonathan Sondow_, Nov 16 2017