A344281 Integers m for which F (mod m) has rotational symmetry.

2, 3, 5, 6, 7, 9, 10, 13, 14, 17, 18, 23, 25, 26, 27, 34, 37, 41, 43, 46, 47, 49, 50, 53, 54, 61, 65, 67, 73, 74, 81, 82, 83, 85, 86, 89, 94, 97, 98, 103, 106, 107, 109, 113, 122, 123, 125, 127, 129, 130, 134, 137, 146, 149, 157, 161, 162, 163, 166, 167, 169, 170

Offset: 1

Author

Michel Marcus, May 14 2021

Keywords

• nonn

Comments

Flanagan et al. define F (mod m) as the set of points [x_i, y_i] (mod m) where x_i = Fibonacci(i) and y_i = Fibonacci(i+1).

Links

• Patrick Flanagan, Marc S. Renault, and Josh Updike, Symmetries of Fibonacci Points, Mod m, Fibonacci Quart. 53 (2015), no. 1, 34-41. See p. 5.

Crossrefs

Cf. A000045, A001175, A275124, A344258.

Programs

PARI

\\ where pisano(n) is A001175
hasrot(m) = {if (m==1, return (0)); if (m==2, return (1)); my(j = pisano(m)/2); my(vf = [fibonacci(j), fibonacci(j+1)]); Mod(vf, m) == [0, -1];}