A303492 Numbers m such that m divides A302205(m).

1, 2, 3, 4, 6, 8, 9, 10, 12, 16, 18, 20, 24, 27, 30, 32, 36, 40, 48, 60, 64, 72, 80, 90, 96, 100, 112, 120, 128, 130, 144, 160, 180, 184, 190, 192, 200, 224, 240, 249, 256, 260, 270, 279, 288, 300, 306, 320, 360, 384, 400, 401, 408, 412, 480, 512, 520, 528, 558, 576, 600, 612, 640

Offset

1,2

Links

Table of n, a(n) for n=1..63.

Example

With k = 18, b = 10010, and x = concat(16,0,0,2,0) = 160020, we find that 160020 / 18 = 8890, so 18 is in this sequence.

Prog

(Python)
k = 1000
seq = []
for i in range(1, k+1):
  b = bin(i)[2:]
  c = len(b)
  x = ""
  for j in range(c):
    x += str(int(pow(2, c-j-1)) * int(b[j]))
  y = float(int(x))/float(i)
  if y.is_integer():
    seq.append(i)
print(seq)
(PARI) isok(n) = {my(b = binary(n)); s = ""; forstep (k=#b, 1, -1, s = concat(s, Str(b[#b-k+1]*2^(k-1)))); eval(s) % n == 0; } \\ Michel Marcus, Apr 26 2018

Crossrefs

Cf. A302205.

Sequence in context: A227762 A344296 A333506 * A188591 A002183 A349607

Adjacent sequences: A303489 A303490 A303491 * A303493 A303494 A303495

Keyword

nonn,base

Author

J. Stauduhar, Apr 24 2018

Extensions

Edited by N. J. A. Sloane, Apr 26 2018

Status

approved