A199684 a(n) = 4*10^n+1.

5, 41, 401, 4001, 40001, 400001, 4000001, 40000001, 400000001, 4000000001, 40000000001, 400000000001, 4000000000001, 40000000000001, 400000000000001, 4000000000000001, 40000000000000001, 400000000000000001, 4000000000000000001

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

a(n) = 10*a(n-1)-9.

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

G.f.: (5-14*x)/((1-x)*(1-10*x)).

E.g.f.: exp(x) + 4*exp(10*x). - Stefano Spezia, Oct 20 2022

Prog

(Magma) [4*10^n+1: n in [0..30]];

Crossrefs

Cf. A000533, A011557.

Sequence in context: A156153 A026000 A058475 * A177506 A064087 A329123

Adjacent sequences: A199681 A199682 A199683 * A199685 A199686 A199687

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 09 2011

Status

approved