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A227397 Related to Pisano periods: Numbers k such that the period of Fibonacci numbers mod k equals k+2. 1

%I #19 May 10 2021 02:08:42

%S 4,34,46,94,106,166,226,274,334,346,394,454,514,526,586,634,694,706,

%T 766,886,934,1006,1126,1174,1186,1234,1294,1306,1354,1366,1486,1546,

%U 1654,1714,1726,1774,1894,1954,1966,2026,2326,2374,2386,2434,2566,2614,2734,2746

%N Related to Pisano periods: Numbers k such that the period of Fibonacci numbers mod k equals k+2.

%C This sequence is a subsequence of A220168, where k divides the Fibonacci number F(k+2). There is no discernible pattern among the terms of A220168 terms that are not in this sequence.

%C All terms are 2 less than a multiple of 6, and all except the first term (4) are 2 less than a multiple of 12.

%H Matthew Goers, <a href="/A227397/b227397.txt">Table of n, a(n) for n = 1..125</a>

%e The Pisano period (A001175) for dividing the Fibonacci numbers (A000045) by 4 is 6; 6 = 4 + 2, so 4 is a term.

%e The Pisano period for the Fibonacci numbers mod 34 is 36; 36 = 34 + 2, so 34 is a term.

%Y Cf. A000045, A001175, A220168, A071776.

%K nonn

%O 1,1

%A _Matthew Goers_, Sep 20 2013

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)