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A367650
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a(n) = 12345*10^n + 6789.
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2
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19134, 130239, 1241289, 12351789, 123456789, 1234506789, 12345006789, 123450006789, 1234500006789, 12345000006789, 123450000006789, 1234500000006789, 12345000000006789, 123450000000006789, 1234500000000006789, 12345000000000006789, 123450000000000006789, 1234500000000000006789
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history;
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internal format)
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OFFSET
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0,1
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COMMENTS
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For n > 3, a(n) satisfies (R(a(n)) - 1)/(a(n) + 1) = 8, where R(x) = A004086(x) is decimal digit reversal.
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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.
O.g.f.: 9*(2126 - 8915*x)/((1 - x)*(1 - 10*x)).
E.g.f.: 3*exp(x)*(2263 + 4115*exp(9*x)).
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MATHEMATICA
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LinearRecurrence[{11, -10}, {19134, 130239}, 20]
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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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STATUS
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approved
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