A317971 Numbers m such that the Pisano period A001175(m) divides m.

1, 24, 48, 72, 96, 120, 144, 192, 216, 240, 288, 336, 360, 384, 432, 480, 576, 600, 648, 672, 720, 768, 864, 960, 1008, 1080, 1104, 1152, 1200, 1224, 1296, 1320, 1344, 1368, 1440, 1536, 1680, 1728, 1800, 1920, 1944, 2016, 2160, 2208, 2304, 2352, 2400, 2448, 2592, 2640, 2688, 2736, 2880, 3000, 3024, 3072

Offset

1,2

Comments

More terms than usual are displayed because there are some very similar sequences in the OEIS.

The terms > 1 are divisible by 24, and the quotients give A072378.

In their paper, Shtefan and Dobrovolska (2018) prove that all terms m > 1 of this sequence are such that the sum of any m consecutive Fibonacci numbers is divisible by m. - Petros Hadjicostas, May 19 2019

Links

N. J. A. Sloane, Table of n, a(n) for n = 1..10001

D. Shtefan and I. Dobrovolska, The sums of the consecutive Fibonacci numbers,, Fibonacci Quarterly, 56 (2018), 229-236.

Eric Weisstein's World of Mathematics, Pisano period.

Wikipedia, Pisano period.

Crossrefs

Cf. A001175, A072378.

Sequence in context: A050497 A162282 A008606 * A141767 A327947 A288639

Adjacent sequences: A317968 A317969 A317970 * A317972 A317973 A317974

Keyword

nonn

Author

N. J. A. Sloane, Sep 01 2018

Status

approved