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 A309583 Numbers k with 1 zero in a fundamental period of A000129 mod k. 12
 1, 2, 4, 7, 8, 14, 16, 20, 23, 24, 28, 31, 32, 40, 41, 46, 47, 48, 49, 52, 56, 62, 64, 71, 72, 79, 80, 82, 88, 92, 94, 96, 98, 100, 103, 104, 112, 116, 120, 124, 127, 128, 140, 142, 144, 148, 151, 152, 158, 160, 161, 164, 167, 168, 176, 184, 188, 191, 192 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that A214027(k) = 1. The odd numbers k satisfy A175181(k) == 2 (mod 4). LINKS Jianing Song, Table of n, a(n) for n = 1..5000 PROG (PARI) for(k=1, 200, if(A214027(k)==1, print1(k, ", "))) CROSSREFS Cf. A000129, A175181, A214027. 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.                              |   m=1    |   m=2    |   m=3 Primes p such that w(p) = 1  | A112860* | A309580  | A309586 Primes p such that w(p) = 2  | A053027  | A309581  | A309587 Primes p such that w(p) = 4  | A053028  | A261580  | A309588 Numbers k such that w(k) = 1 | A053031  | this seq | A309591 Numbers k such that w(k) = 2 | A053030  | A309584  | A309592 Numbers k such that w(k) = 4 | A053029  | A309585  | A309593 * and also A053032 U {2} Sequence in context: A306235 A004616 A322386 * A327478 A062846 A102824 Adjacent sequences:  A309580 A309581 A309582 * A309584 A309585 A309586 KEYWORD nonn AUTHOR Jianing Song, Aug 10 2019 STATUS approved

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Last modified October 23 13:32 EDT 2021. Contains 348214 sequences. (Running on oeis4.)