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A229467 Related to Pisano periods: numbers n such that there are n+10 distinct Fibonacci numbers mod n. 2

%I #26 Oct 16 2013 18:10:07

%S 170,230,530,830,1370,1670,1730,1970,2270,2570,2930,3170,3830,4430,

%T 4670,5030,5870,5930,6170,6470,6530,6830,7430,7730,8270,8570,8630,

%U 8870,9470,9770,9830,10130,11630,11870,11930,12170,12830,13070,13670,13730,14330

%N Related to Pisano periods: numbers n such that there are n+10 distinct Fibonacci numbers mod n.

%C These are a subset of the terms of A071774 multiplied by 10, where A071774 are numbers m such that Fibonacci numbers mod m = 2*(m+1). All A071774 terms multiplied by 10 have Pisano periods 3*(n+10) or (n+10). This sequence is the (n+10) subset.

%H Matthew Goers, <a href="/A229467/b229467.txt">Table of n, a(n) for n = 1..60</a>

%e The Pisano period of the Fibonacci numbers mod 170 = 180, which is 170+10.

%e The Pisano period of the Fibonacci numbers mod 1670 = 1680, which is 1670+10.

%Y Cf. A000045, A001175, A071774, A229466.

%K nonn

%O 1,1

%A _Matthew Goers_, Sep 24 2013

%E Added 3 terms - _Matthew Goers_, Oct 14 2013

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Last modified July 19 05:59 EDT 2024. Contains 374389 sequences. (Running on oeis4.)