cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A227397 #19 May 10 2021 02:08:42
%S A227397 4,34,46,94,106,166,226,274,334,346,394,454,514,526,586,634,694,706,
%T A227397 766,886,934,1006,1126,1174,1186,1234,1294,1306,1354,1366,1486,1546,
%U A227397 1654,1714,1726,1774,1894,1954,1966,2026,2326,2374,2386,2434,2566,2614,2734,2746
%N A227397 Related to Pisano periods: Numbers k such that the period of Fibonacci numbers mod k equals k+2.
%C A227397 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 A227397 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 A227397 Matthew Goers, <a href="/A227397/b227397.txt">Table of n, a(n) for n = 1..125</a>
%e A227397 The Pisano period (A001175) for dividing the Fibonacci numbers (A000045) by 4 is 6; 6 = 4 + 2, so 4 is a term.
%e A227397 The Pisano period for the Fibonacci numbers mod 34 is 36; 36 = 34 + 2, so 34 is a term.
%Y A227397 Cf. A000045, A001175, A220168, A071776.
%K A227397 nonn
%O A227397 1,1
%A A227397 _Matthew Goers_, Sep 20 2013