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A309591 Numbers k with 1 zero in a fundamental period of A006190 mod k. 10
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

Table of n, a(n) for n=1..56.

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 January 25 23:08 EST 2020. Contains 331270 sequences. (Running on oeis4.)