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A303492 Numbers m such that m divides A302205(m). 0
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 (list; graph; refs; listen; history; text; internal format)
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: A269045 A067023 A227762 * A188591 A002183 A060306

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

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Last modified October 22 05:29 EDT 2019. Contains 328315 sequences. (Running on oeis4.)