A052483 Decimal expansion of Hausdorff dimension of Apollonian packing of circles.

1, 3, 0, 5, 6, 8, 6, 7, 2, 8, 0, 4, 9, 8, 7, 7, 1, 8, 4, 6, 4, 5, 9, 8, 6, 2, 0, 6, 8, 5, 1, 0, 4, 0, 8, 9, 1, 1, 0, 6, 0, 2, 6, 4, 4, 1, 4, 9, 6, 4, 6, 8, 2, 9, 6, 4, 4, 6, 1, 8, 8, 3, 8, 8, 9, 9, 6, 9, 8, 6, 4, 2, 0, 5, 0, 2, 9, 6, 9, 8, 6, 4, 5, 4, 5, 2, 1, 6, 1, 2, 3, 1, 5, 0, 5, 3, 8, 7, 1, 3, 2, 8, 0, 7, 9, 2, 4, 6, 6, 8

Offset

1,2

References

Polina Vytnova and Caroline Wormell, Rigorous computation of the Hausdorff dimension of the Apollonian gasket, to be published, 2024.

Links

Table of n, a(n) for n=1..110.

Zai-Qiao Bai and Steven R. Finch, Precise calculation of Hausdorff dimension of Apollonian gasket, Fractals (2018), doi:10.1142/S0218348X18500500.

Roberto De Leo, A conjecture on the Hausdorff dimension of attractors of real self-projective Iterated Function Systems, Experimental Mathematics 24, 270 (2015), doi:10.1080/10586458.2014.987884.

S. S. Manna and H. J. Herrmann, Precise determination of the fractal dimensions of Apollonian packing and space-filling bearings, J. Phys. A: Math. Gen. 24 (1991), L481-L490.

MathOverflow, Hausdorff dimension of Apollonian circle packing, 1.305686729, 1.305688 or yet something else?.

P. B. Thomas and D. Dhar, The Hausdorff dimension of the Apollonian packing of circles, J. Phys. A, 27 (1994), 2257-2268.

Example

1.3056867...

Crossrefs

Cf. A187089.

Sequence in context: A193508 A307728 A263199 * A308116 A308123 A308089

Adjacent sequences: A052480 A052481 A052482 * A052484 A052485 A052486

Keyword

nonn,cons

Author

N. J. A. Sloane, Mar 16 2000

Extensions

More terms from Andrey Zabolotskiy, May 17 2018 from the paper by Zai-Qiao Bai and Steven R. Finch

More terms from Vytnova & Wormell added by Andrey Zabolotskiy, Nov 08 2023

Status

approved