A173737 a(n) = (10^n + 44)/9 for n>0.

6, 16, 116, 1116, 11116, 111116, 1111116, 11111116, 111111116, 1111111116, 11111111116, 111111111116, 1111111111116, 11111111111116, 111111111111116, 1111111111111116, 11111111111111116, 111111111111111116, 1111111111111111116, 11111111111111111116, 111111111111111111116

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..100

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

Formula

a(n) = a(n-1) + 10^(n-1) = 10*a(n-1) - 44 with n>0, a(0)=5.

From Vincenzo Librandi, Jul 05 2012: (Start)

G.f.: 2*x*(3-25*x)/((1-x)*(1-10*x)).

a(n) = 11*a(n-1) - 10*a(n-2) with a(0)=5, a(1)=6. (End)

a(n) = 2*(A002279(n-1) + 3). - Martin Ettl, Nov 08 2012

From Elmo R. Oliveira, Jun 13 2026: (Start)

E.g.f.: -5 + exp(x)*(44 + exp(9*x))/9.

a(n) = A173734(n) - 2 = A173735(n) + 2. (End)

Mathematica

CoefficientList[Series[(6-50*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)

Prog

(Magma) [(10^n+44)/9: n in [1..20]]; // Vincenzo Librandi, Jul 05 2012
(Maxima) A173737(n):=(10^n+44)/9$ makelist(A173737(n), n, 1, 20); /* Martin Ettl, Nov 08 2012 */

Crossrefs

Cf. A002279, A173734, A173735.

Sequence in context: A115331 A239027 A218976 * A152663 A229560 A113561

Adjacent sequences: A173734 A173735 A173736 * A173738 A173739 A173740

Keyword

nonn,easy,changed

Author

Vincenzo Librandi, Feb 23 2010

Status

approved