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a(n) = 7*8^n - 1.
2

%I #22 Sep 08 2022 08:46:00

%S 6,55,447,3583,28671,229375,1835007,14680063,117440511,939524095,

%T 7516192767,60129542143,481036337151,3848290697215,30786325577727,

%U 246290604621823,1970324836974591,15762598695796735,126100789566373887

%N a(n) = 7*8^n - 1.

%H Vincenzo Librandi, <a href="/A198855/b198855.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 (9,-8).

%F a(n) = 8*a(n-1) + 7.

%F a(n) = 9*a(n-1) - 8*a(n-2), n > 1.

%F G.f.: ( 6+x ) / ( (8*x-1)*(x-1) ). - _R. J. Mathar_, Oct 31 2011

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

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 31 2011