A198764 6*5^n-1.

5, 29, 149, 749, 3749, 18749, 93749, 468749, 2343749, 11718749, 58593749, 292968749, 1464843749, 7324218749, 36621093749, 183105468749, 915527343749, 4577636718749, 22888183593749, 114440917968749, 572204589843749, 2861022949218749

Offset: 0

Author

Vincenzo Librandi, Oct 30 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (6,-5).

Crossrefs

Cf. A024049, A057651, A081655.

Programs

Magma

[6*5^n-1: n in [0..30]]

Mathematica

CoefficientList[Series[(5 - x)/(1 - 6*x + 5*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)
6*5^Range[0,30]-1 (* or *) LinearRecurrence[{6,-5},{5,29},30] (* Harvey P. Dale, Dec 21 2014 *)

Formula

a(n) = 5*a(n-1)+4.

a(n) = 6*a(n-1)-5*a(n-2), n>1.

G.f.: (5 - x)/(1 - 6*x + 5*x^2). - Vincenzo Librandi, Jan 04 2013