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A253213
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a(n) = 10^n + 9.
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3
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10, 19, 109, 1009, 10009, 100009, 1000009, 10000009, 100000009, 1000000009, 10000000009, 100000000009, 1000000000009, 10000000000009, 100000000000009, 1000000000000009, 10000000000000009, 100000000000000009, 1000000000000000009, 10000000000000000009
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OFFSET
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0,1
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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.: (10 - 91*x)/((1 - x)*(1 - 10*x)).
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MATHEMATICA
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Table[10^n + 9, {n, 0, 40}]
LinearRecurrence[{11, -10}, {10, 19}, 40] (* Harvey P. Dale, Jun 29 2018 *)
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PROG
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(Magma) [10^n+9: n in [0..30]];
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CROSSREFS
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Cf. similar sequences listed in A253208.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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