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A133472
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6 followed by numbers with n-1 0's between 1 and 5.
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1
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6, 15, 105, 1005, 10005, 100005, 1000005, 10000005, 100000005, 1000000005, 10000000005, 100000000005, 1000000000005, 10000000000005, 100000000000005, 1000000000000005, 10000000000000005, 100000000000000005
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (11,-10).
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FORMULA
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From R. J. Mathar, Nov 30 2007: (Start)
O.g.f.: -3*(-2+17*x)/((-1+x)*(-1+10*x)) = -5/(-1+x) - 1/(-1+10*x).
a(n) = 10*a(n-1) - 45. (End)
a(n) = 10^(n-1) + 5 for n >= 1. - Paolo P. Lava, Dec 19 2007
a(n) = 10^n + 5. - Vincenzo Librandi, Aug 10 2011
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MATHEMATICA
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Join[{6}, Table[10*FromDigits[PadRight[{1}, n, 0]]+5, {n, 20}]] (* or *) LinearRecurrence[{11, -10}, {6, 15}, 20] (* Harvey P. Dale, Sep 06 2020 *)
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PROG
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(Magma) [10^n+5: n in [0..20]]; // Vincenzo Librandi, Aug 10 2011
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CROSSREFS
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Cf. A068128, A133384.
Sequence in context: A068128 A013222 A013228 * A213873 A219771 A087137
Adjacent sequences: A133469 A133470 A133471 * A133473 A133474 A133475
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KEYWORD
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nonn,easy
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AUTHOR
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Paul Curtz, Nov 29 2007
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STATUS
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approved
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