

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
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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



