A198688 - OEIS

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

%S 5,41,293,2057,14405,100841,705893,4941257,34588805,242121641,

%T 1694851493,11863960457,83047723205,581334062441,4069338437093,

%U 28485369059657,199397583417605,1395783083923241,9770481587462693,68393371112238857

%N 6*7^n-1.

%H Vincenzo Librandi, <a href="/A198688/b198688.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. ( 5+x ) / ( (7*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011

%o (Magma) [6*7^n-1: n in [0..30]]

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

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 29 2011