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 A309591 Numbers k with 1 zero in a fundamental period of A006190 mod k. 12
 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 43, 46, 53, 54, 61, 69, 79, 81, 86, 92, 101, 103, 106, 107, 108, 122, 127, 129, 131, 138, 139, 158, 159, 162, 172, 173, 179, 183, 191, 199, 202, 206, 207, 211, 212, 214, 237, 243, 244, 251, 254, 258, 262, 263, 276 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that A322906(k) = 1. The odd numbers k satisfy A175182(k) == 2 (mod 4). LINKS Jianing Song, Table of n, a(n) for n = 1..3000 PROG (PARI) for(k=1, 300, if(A322906(k)==1, print1(k, ", "))) CROSSREFS Cf. A006190, A175182, A322906. 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  | A309583  | this seq 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: A062121 A094995 A018591 * A018669 A138857 A018130 Adjacent sequences:  A309588 A309589 A309590 * A309592 A309593 A309594 KEYWORD nonn AUTHOR Jianing Song, Aug 10 2019 STATUS approved

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Last modified May 11 09:43 EDT 2021. Contains 343788 sequences. (Running on oeis4.)