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A224477
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(5^(2^n) + (10^n)/2) mod 10^n: a sequence of trimorphic numbers ending (for n > 1) in 5.
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3
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0, 75, 125, 5625, 40625, 390625, 7890625, 62890625, 712890625, 3212890625, 68212890625, 418212890625, 4918212890625, 9918212890625, 759918212890625, 1259918212890625, 6259918212890625, 756259918212890625, 7256259918212890625, 42256259918212890625
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OFFSET
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1,2
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COMMENTS
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a(n) is the unique nonnegative integer less than 10^n such that a(n) + 2^(n-1) - 1 is divisible by 2^n and a(n) is divisible by 5^n.
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LINKS
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FORMULA
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a(n) = (A007185(n) + 10^n/2) mod 10^n.
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PROG
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(Sage) def A224477(n) : return crt(2^(n-1)+1, 0, 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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