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A361694
Decimal expansion of (2 - phi)/3, with phi being the golden ratio A001622.
0
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
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
KEYWORD
nonn,cons
AUTHOR
Jeremy Tan, Mar 22 2023
STATUS
approved