A294510 Residues modulo 24 of curvatures in the Apollonian circle packing A042944.

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

Offset: 1

Author

Jonathan Sondow, Nov 16 2017

Keywords

• nonn
• fini
• full

Comments

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.

Additional comments and links are in A189226.

Links

• E. Fuchs and K. Sanden, Some experiments with integral Apollonian circle packings, arXiv:1001.1406 [math.NT], 2010; Experiment. Math., 20 (2011), 380-399.

Crossrefs

Cf. A042944, A042945, A189226, A218155.