A086949 Numbers k such that reverse(k+9) = 5.

41, 491, 4991, 49991, 499991, 4999991, 49999991, 499999991, 4999999991, 49999999991, 499999999991, 4999999999991, 49999999999991, 499999999999991, 4999999999999991, 49999999999999991, 499999999999999991, 4999999999999999991, 49999999999999999991, 499999999999999999991

Offset

1,1

Comments

reverse(a(n)) = A086946(n).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..300

Index entries for linear recurrences with constant coefficients, signature (11,-10).

Formula

a(n) = 5*10^n - 9.

From Stefano Spezia, Dec 15 2022: (Start)

O.g.f.: x*(41 + 40*x)/((1 - x)*(1 - 10*x)).

E.g.f.: 4 - 9*exp(x) + 5*exp(10*x).

a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. (End)

Mathematica

5*10^Range[20]-9 (* Harvey P. Dale, Nov 29 2018 *)

Prog

(Magma) [5*10^n-9: n in [1..25] ]; // Vincenzo Librandi, Aug 22 2011

Crossrefs

Cf. A004086, A086946.

Sequence in context: A166843 A098958 A269073 * A177504 A297976 A208048

Adjacent sequences: A086946 A086947 A086948 * A086950 A086951 A086952

Keyword

nonn,base,easy

Author

Ray Chandler, Jul 24 2003

Status

approved