[go: up one dir, main page]

login
8*7^n-1.
1

%I #16 Sep 08 2022 08:45:59

%S 7,55,391,2743,19207,134455,941191,6588343,46118407,322828855,

%T 2259801991,15818613943,110730297607,775112083255,5425784582791,

%U 37980492079543,265863444556807,1861044111897655,13027308783283591,91191161482985143

%N 8*7^n-1.

%H Vincenzo Librandi, <a href="/A198689/b198689.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,-7).

%F a(n) = 7*a(n-1)+6. a(n) = 8*a(n-1)-7*a(n-2), n>1.

%F G.f. ( 7-x ) / ( (7*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011

%o (Magma) [8*7^n-1: n in [0..30]]

%Y Cf. A024075, A048473, A081655, A198480, A198647.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 29 2011