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A224476
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(2*16^(5^n) + (10^n)/2 - 1) mod 10^n: a sequence of trimorphic numbers ending (for n > 1) in 1.
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4
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6, 1, 251, 3751, 68751, 718751, 9218751, 24218751, 74218751, 8574218751, 13574218751, 663574218751, 5163574218751, 30163574218751, 980163574218751, 2480163574218751, 37480163574218751, 987480163574218751, 487480163574218751, 65487480163574218751
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OFFSET
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1,1
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COMMENTS
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a(n) is the unique positive integer less than 10^n such that a(n) + 2^(n-1) + 1 is divisible by 2^n and a(n) - 1 is divisible by 5^n.
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LINKS
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FORMULA
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a(n) = (A224474(n) + 10^n/2) mod 10^n.
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PROG
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(Sage) def A224476(n) : return crt(2^(n-1)-1, 1, 2^n, 5^n)
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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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