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A086580
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a(n) = 9*(10^n - 1).
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9
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0, 81, 891, 8991, 89991, 899991, 8999991, 89999991, 899999991, 8999999991, 89999999991, 899999999991, 8999999999991, 89999999999991, 899999999999991, 8999999999999991, 89999999999999991, 899999999999999991, 8999999999999999991, 89999999999999999991, 899999999999999999991
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OFFSET
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0,2
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COMMENTS
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Original definition: a(n) = k where R(k+9) = 9.
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LINKS
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FORMULA
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a(n) = 11*a(n-1) - 10*a(n-2) for n > 1.
G.f.: 81*x/((1 - x)*(1 - 10*x)). (End)
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MATHEMATICA
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PROG
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(Magma) [9*(10^n -1): n in [0..30]]; // G. C. Greubel, Jul 07 2023
(SageMath)
A086580=BinaryRecurrenceSequence(11, -10, 0, 81)
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CROSSREFS
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One of family of sequences of form a(n) = k, where R(k+m) = m, m=1 to 9; m=1: A002283, m=2: A086573, m=3: A086574, m=4: A086575, m=5: A086576, m=6: A086577, m=7: A086578, m=8: A086579, m=9: A086580.
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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