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A309593 Numbers k with 4 zeros in a fundamental period of A006190 mod k. 10
5, 10, 13, 25, 26, 29, 37, 41, 50, 58, 65, 73, 74, 82, 89, 97, 109, 125, 130, 137, 145, 146, 149, 157, 169, 178, 181, 185, 193, 194, 197, 205, 218, 229, 233, 241, 250, 269, 274, 281, 290, 293, 298, 314, 317, 325, 338, 349, 353, 362, 365, 370, 373, 377 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers k such that A322906(k) = 4.

Also numbers k such that A214027(k) is odd.

LINKS

Table of n, a(n) for n=1..54.

PROG

(PARI) for(k=1, 400, if(A322906(k)==4, print1(k, ", ")))

CROSSREFS

Cf. A006190, A322906, A322907.

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  | A309591

Numbers k such that w(k) = 2 | A053030  | A309584  | A309592

Numbers k such that w(k) = 4 | A053029  | A309585  | this seq

* and also A053032 U {2}

Sequence in context: A313449 A313450 A292268 * A272267 A195735 A061145

Adjacent sequences:  A309590 A309591 A309592 * A309594 A309595 A309596

KEYWORD

nonn

AUTHOR

Jianing Song, Aug 10 2019

STATUS

approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)