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

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

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. A175182.

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

-----------------------------+----------+---------+----------

The sequence {x(n)} | A000045 | A000129 | A006190

The sequence {w(k)} | A001176 | A214027 | A322906

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,changed

Author

Jianing Song, Aug 10 2019

Status

approved