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A237342
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For k in {2,3,...,9} define a sequence as follows: a(0)=0; for n>=0, a(n+1)=a(n)+1, unless a(n) ends in k, in which case a(n+1) is obtained by replacing the last digit of a(n) with the digit(s) of k^2. This is k(5).
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1
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0, 1, 2, 3, 4, 5, 25, 225, 2225, 22225, 222225, 2222225, 22222225, 222222225, 2222222225, 22222222225, 222222222225, 2222222222225, 22222222222225, 222222222222225, 2222222222222225, 22222222222222225, 222222222222222225, 2222222222222222225
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: (10*x^6-9*x^5-9*x^4-9*x^3-9*x^2+x)/(10*x^2-11*x+1). - Alois P. Heinz, Feb 07 2014
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MATHEMATICA
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Join[Range[0, 4], Table[(25 + 2 10^(n - 4))/9, {n, 5, 30}]] (* Bruno Berselli, Feb 08 2014 *)
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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