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A086578
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a(n) = 7*(10^n - 1).
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9
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0, 63, 693, 6993, 69993, 699993, 6999993, 69999993, 699999993, 6999999993, 69999999993, 699999999993, 6999999999993, 69999999999993, 699999999999993, 6999999999999993, 69999999999999993, 699999999999999993, 6999999999999999993, 69999999999999999993, 699999999999999999993
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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+7) = 7.
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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.: 63*x/((1 - x)*(1 - 10*x)). (End)
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MATHEMATICA
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LinearRecurrence[{11, -10}, {0, 63}, 31] (* G. C. Greubel, Apr 14 2023 *)
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PROG
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(Magma) [7*(10^n -1): n in [0..20]]; // G. C. Greubel, Apr 14 2023
(SageMath) [7*(10^n -1) for n in range(21)] # G. C. Greubel, Apr 14 2023
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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
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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