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%I #23 Jan 05 2025 19:51:41
%S 1,24,48,72,96,120,144,192,216,240,288,336,360,384,432,480,576,600,
%T 648,672,720,768,864,960,1008,1080,1104,1152,1200,1224,1296,1320,1344,
%U 1368,1440,1536,1680,1728,1800,1920,1944,2016,2160,2208,2304,2352,2400,2448,2592,2640,2688,2736,2880,3000,3024,3072
%N Numbers m such that the Pisano period A001175(m) divides m.
%C More terms than usual are displayed because there are some very similar sequences in the OEIS.
%C The terms > 1 are divisible by 24, and the quotients give A072378.
%C 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
%H N. J. A. Sloane, <a href="/A317971/b317971.txt">Table of n, a(n) for n = 1..10001</a>
%H D. Shtefan and I. Dobrovolska, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Abstracts/56-3/shtefan.pdf">The sums of the consecutive Fibonacci numbers,</a>, Fibonacci Quarterly, 56 (2018), 229-236.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PisanoPeriod.html">Pisano period</a>.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Pisano_period">Pisano period</a>.
%Y Cf. A001175, A072378.
%K nonn
%O 1,2
%A _N. J. A. Sloane_, Sep 01 2018