A198848 a(n) = 11*6^n - 1.

10, 65, 395, 2375, 14255, 85535, 513215, 3079295, 18475775, 110854655, 665127935, 3990767615, 23944605695, 143667634175, 862005805055, 5172034830335, 31032208982015, 186193253892095, 1117159523352575, 6702957140115455, 40217742840692735

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,-6).

Formula

a(n) = 6*a(n-1)+5. a(n) = 7*a(n-1)-6*a(n-2), n>1.

From Elmo R. Oliveira, Aug 14 2024: (Start)

G.f.: (10-5*x)/((1-x)*(1-6*x)).

E.g.f.: exp(x)*(11*exp(5*x) - 1). (End)

Prog

(Magma) [11*6^n-1: n in [0..30]];
(Python)
def A198848(n): return 11*6**n-1 # Aidan Chen, Feb 05 2026

Crossrefs

Sequence in context: A291231 A097791 A212259 * A215764 A262342 A307144

Adjacent sequences: A198845 A198846 A198847 * A198849 A198850 A198851

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 31 2011

Status

approved