login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A344281 Integers m for which F (mod m) has rotational symmetry. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

Table of n, a(n) for n=1..62.

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.

PROG

(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]; }

CROSSREFS

Cf. A000045, A001175, A275124, A344258.

Sequence in context: A158746 A062470 A179460 * A171886 A343238 A018559

Adjacent sequences: A344278 A344279 A344280 * A344282 A344283 A344284

KEYWORD

nonn

AUTHOR

Michel Marcus, May 14 2021

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 15:01 EST 2022. Contains 358667 sequences. (Running on oeis4.)