A354170 Odd numbers whose Collatz trajectory includes 11 odd numbers.

57, 59, 115, 119, 229, 237, 461, 465, 473, 477, 507, 513, 917, 931, 943, 945, 947, 949, 971, 987, 1015, 1025, 1027, 1031, 1129, 1131, 1845, 1857, 1861, 1867, 1881, 1887, 1891, 1893, 1905, 1909, 1943, 1945, 1953, 1975, 2029, 2051, 2053, 2055, 2059, 2063, 2073

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Wikipedia, Collatz Conjecture

Index entries for sequences related to 3x+1 (or Collatz) problem

Formula

{ A005408 } intersect { A072466 }. - Alois P. Heinz, May 18 2022

Example

119 is a term since its Collatz trajectory is 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 29, 10, 5, 16, 8, 4, 2, 1, which has 11 odd numbers.

Maple

b:= proc(n) option remember; irem(n, 2, 'r')+
      `if`(n=1, 0, b(`if`(n::odd, 3*n+1, r)))
    end:
q:= n-> is(n::odd and b(n)=11):
select(q, [$1..5000])[];  # Alois P. Heinz, May 18 2022

Mathematica

q[n_] := Count[NestWhileList[If[OddQ[#], 3 # + 1, #/2] &, n, # > 1 &], _?OddQ] == 11; Select[2*Range[1000] - 1, q] (* Amiram Eldar, May 18 2022 *)

Crossrefs

Cf. A005408, A072466, A072197.

Sequence in context: A136542 A042623 A072466 * A345504 A345505 A216183

Adjacent sequences: A354167 A354168 A354169 * A354171 A354172 A354173

Keyword

nonn

Author

Krishna Kumar Arumugam, May 18 2022

Status

approved