%I #16 Feb 19 2021 12:38:16
%S 1,2,4,7,8,14,16,20,23,24,28,31,32,40,41,46,47,48,49,52,56,62,64,71,
%T 72,79,80,82,88,92,94,96,98,100,103,104,112,116,120,124,127,128,140,
%U 142,144,148,151,152,158,160,161,164,167,168,176,184,188,191,192
%N Numbers k with 1 zero in a fundamental period of A000129 mod k.
%C Numbers k such that A214027(k) = 1.
%C The odd numbers k satisfy A175181(k) == 2 (mod 4).
%H Jianing Song, <a href="/A309583/b309583.txt">Table of n, a(n) for n = 1..5000</a>
%o (PARI) for(k=1, 200, if(A214027(k)==1, print1(k, ", ")))
%Y Cf. A000129, A175181, A214027.
%Y Let {x(n)} be a sequence defined by x(0) = 0, x(1) = 1, x(n+2) = m*x(n+1) + x(n). Let w(k) be the number of zeros in a fundamental period of {x(n)} modulo k.
%Y | m=1 | m=2 | m=3
%Y Primes p such that w(p) = 1 | A112860* | A309580 | A309586
%Y Primes p such that w(p) = 2 | A053027 | A309581 | A309587
%Y Primes p such that w(p) = 4 | A053028 | A261580 | A309588
%Y Numbers k such that w(k) = 1 | A053031 | this seq | A309591
%Y Numbers k such that w(k) = 2 | A053030 | A309584 | A309592
%Y Numbers k such that w(k) = 4 | A053029 | A309585 | A309593
%Y * and also A053032 U {2}
%K nonn
%O 1,2
%A _Jianing Song_, Aug 10 2019
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