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A064616
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a(n) = (10^n-1)*(91/81)-n*10^n/9.
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2
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9, 89, 789, 6789, 56789, 456789, 3456789, 23456789, 123456789, 123456789, -9876543211, -209876543211, -3209876543211, -43209876543211, -543209876543211, -6543209876543211, -76543209876543211, -876543209876543211, -9876543209876543211
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = 21*a(n-1)-120*a(n-2)+100*a(n-3). G.f.: x*(100*x-9) / ((x-1)*(10*x-1)^2). - Colin Barker, Sep 15 2014
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MATHEMATICA
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LinearRecurrence[{21, -120, 100}, {9, 89, 789}, 20] (* Harvey P. Dale, May 15 2022 *)
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PROG
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(PARI) { a=0; q=1; for (n=1, 150, a+=(10 - n)*q; q*=10; write("b064616.txt", n, " ", a) ) } \\ Harry J. Smith, Sep 20 2009
(PARI) Vec(x*(100*x-9)/((x-1)*(10*x-1)^2) + O(x^100)) \\ Colin Barker, Sep 15 2014
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CROSSREFS
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KEYWORD
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base,easy,sign
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AUTHOR
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STATUS
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approved
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