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A245385
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Numbers N such that N = P//Q = R//S, where // is the concatenation function, satisfying the following properties: P and S are m-digit integers, Q and R are k-digit integers, k and m are distinct positive integers, and P*Q = R*S.
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1
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111, 164, 195, 222, 265, 333, 444, 498, 555, 666, 777, 888, 999, 1111, 1664, 1995, 2222, 2665, 3333, 4444, 4847, 4998, 5555, 6545, 6666, 7424, 7777, 8888, 9999, 11111, 16664, 19995, 21775, 22222, 24996, 26665, 33333, 43243, 44444, 49998, 55555, 66666, 77777, 86486, 88888, 99999
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OFFSET
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1,1
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LINKS
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EXAMPLE
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Take the number 21775.
2*1775 != 2177*5.
21*775 == 217*75 = 16275. Thus 21775 is a member of this sequence.
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PROG
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(Python)
for n in range(1, 10**5):
..s = str(n)
..count = 0
..for i in range(1, len(s)):
....num = int(s[:i])*int(s[i:])
....if i != len(s) - i:
......if num != 0:
........if num == int(s[:len(s)-i])*int(s[len(s)-i:]):
..........count += 1
..........break
..if count > 0:
....print(n, end=', ')
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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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STATUS
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approved
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