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 A309585 Numbers k with 4 zeros in a fundamental period of A000129 mod k. 12
 5, 13, 25, 29, 37, 53, 61, 65, 101, 109, 125, 137, 145, 149, 157, 169, 173, 181, 185, 197, 229, 265, 269, 277, 293, 305, 317, 325, 349, 373, 377, 389, 397, 421, 461, 481, 505, 509, 521, 541, 545, 557, 569, 593, 613, 625, 653, 661, 677, 685, 689, 701, 709 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers k such that A214027(k) = 4. Also numbers k such that A214028(k) is odd. LINKS Jianing Song, Table of n, a(n) for n = 1..1000 PROG (PARI) for(k=1, 700, if(A214027(k)==4, print1(k, ", "))) CROSSREFS Cf. A000129, A214027, A214028. 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  | this seq | A309593 * and also A053032 U {2} Sequence in context: A283750 A156679 A190618 * A004627 A066782 A094553 Adjacent sequences:  A309582 A309583 A309584 * A309586 A309587 A309588 KEYWORD nonn AUTHOR Jianing Song, Aug 10 2019 STATUS approved

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Last modified May 8 17:26 EDT 2021. Contains 343666 sequences. (Running on oeis4.)