A361694 Decimal expansion of (2 - phi)/3, with phi being the golden ratio A001622.

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

Offset

0,2

Comments

In the Smith et al. paper a one-parameter family of simple polygons is presented where each member of the family tiles the plane but only aperiodically. The tiles are asymmetric, so may occur in one of two orientations; this constant is the proportion of tiles with the less frequent orientation in the tiling.

Links

Table of n, a(n) for n=0..101.

David Smith, Joseph Myers, Craig Kaplan and Chaim Goodman-Strauss, An aperiodic monotile, arXiv:2303.10798 [math.CO], 2023.

Formula

Equals (3 - sqrt(5))/6 = 1/2 - sqrt(5)/6.

Example

0.12732200375003505059847105521145...

Mathematica

RealDigits[(3 - Sqrt[5])/6, 10, 105][[1]]

Prog

(PARI) (3-sqrt(5))/6

Crossrefs

Cf. A001622.

Sequence in context: A124910 A303954 A090388 * A021370 A248140 A088538

Adjacent sequences: A361691 A361692 A361693 * A361695 A361696 A361697

Keyword

nonn,cons

Author

Jeremy Tan, Mar 22 2023

Status

approved