A196097 Boundary of an n-ball in Novikov's hyperbolic triangular discretization of complex analysis.

1, 8, 32, 120, 448, 1672

Offset: 0

Author

Olivier Gérard, Oct 27 2011

Keywords

• nonn

Comments

One can discretize complex analysis by finding equivalents of the Cauchy-Riemann operator on various tilings of the complex plane. One of the solutions explored by Novikov is a plane of negative curvature analog to the Lobatchevskii plane made from triangles of alternative colors (black and white). a(n) gives the first terms of the length of the boundary of after n iterations.

Terms have been computed by Novikov and Mike Boyle.

References

• S.P. Novikov, New discretization of Complex Analysis: the Euclidean and Hyperbolic Planes, Proceedings of the Steklov Mathematical Institute of Mathematics, 273 (2011), 238-251. See pp248-250.