A338947 Number of vertices of a hexagonal tessellation that lie on subsequent circles centered at a vertex of one hexagon.

1, 3, 6, 3, 6, 6, 6, 6, 3, 6, 12, 3, 6, 6, 6, 6, 6, 12, 6, 6, 9, 6, 12, 6, 12, 3, 6, 6, 6, 6, 6, 6, 12, 12, 12, 6, 3, 6, 6, 6, 12, 6, 12, 3, 6, 6, 12, 12, 6, 6, 18, 6, 6, 12, 6, 6, 9, 12, 6, 6, 6, 12, 12, 6, 6, 9, 6, 12, 6, 6, 12, 12, 6, 6, 12, 6, 12, 6, 6, 6, 12, 12, 3, 12, 6, 6, 24, 6, 12, 6, 3, 12, 6, 6, 12, 6, 6, 12

Offset: 0

Author

Szymon Lukaszyk, Nov 17 2020

Keywords

• nonn

Comments

Radii of these circles are square roots of A003136.

This is A113062 with zeros dropped. - Andrey Zabolotskiy, Jun 21 2022

Links

• Szymon Lukaszyk, A short note about the geometry of graphene, ResearchGate, (2020).
• Szymon Lukaszyk, Illustration of the subsequent 51 radii around a hexagon vertex.
• S. Reich et al., Tight-binding description of graphene (up to third-nearest neighbors circles).

Crossrefs

Cf. A003136, A113062; A338992 (similar but with circles centered at the center of one hexagon); A104888, A106030, A317990 (terms multiplied by 3 in agreement for up to 17 term).

Extensions

a(0) changed from 0 to 1 by Andrey Zabolotskiy, Jun 21 2022