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A317971
Numbers m such that the Pisano period A001175(m) divides m.
2
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
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
Sequence in context: A050497 A162282 A008606 * A141767 A327947 A288639
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Sep 01 2018
STATUS
approved