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A309592 Numbers k with 2 zeros in a fundamental period of A006190 mod k. 10
7, 8, 11, 14, 15, 16, 17, 19, 20, 21, 22, 24, 28, 30, 31, 32, 33, 34, 35, 38, 39, 40, 42, 44, 45, 47, 48, 49, 51, 52, 55, 56, 57, 59, 60, 62, 63, 64, 66, 67, 68, 70, 71, 72, 75, 76, 77, 78, 80, 83, 84, 85, 87, 88, 90, 91, 93, 94, 95, 96, 98, 99, 100, 102, 104 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers k such that A322906(k) = 2.

This sequence contains all numbers k such that 4 divides A32290(k). As a consequence, this sequence contains all numbers congruent to 7, 11, 15, 19, 31, 47 modulo 52.

This sequence contains all odd numbers k such that 8 divides A175182(k).

LINKS

Table of n, a(n) for n=1..65.

PROG

(PARI) for(k=1, 100, if(A322906(k)==2, print1(k, ", ")))

CROSSREFS

Cf. A006190, A175182, 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  | this seq

Numbers k such that w(k) = 4 | A053029  | A309585  | A309593

* and also A053032 U {2}

Sequence in context: A195240 A253318 A277026 * A090385 A145826 A102963

Adjacent sequences:  A309589 A309590 A309591 * A309593 A309594 A309595

KEYWORD

nonn

AUTHOR

Jianing Song, Aug 10 2019

STATUS

approved

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Last modified March 28 20:44 EDT 2020. Contains 333103 sequences. (Running on oeis4.)