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A303492
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Numbers m such that m divides A302205(m).
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0
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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
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internal format)
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OFFSET
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1,2
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LINKS
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EXAMPLE
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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.
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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