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 A199420 a(n) = (5*7^n+1)/3. 1

%I #15 Sep 08 2022 08:46:00

%S 2,12,82,572,4002,28012,196082,1372572,9608002,67256012,470792082,

%T 3295544572,23068812002,161481684012,1130371788082,7912602516572,

%U 55388217616002,387717523312012,2714022663184082,18998158642288572

%N a(n) = (5*7^n+1)/3.

%H Vincenzo Librandi, <a href="/A199420/b199420.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)-2.

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

%F G.f.: 2*(1-2*x)/((1-x)*(1-7*x)).

%t LinearRecurrence[{8,-7},{2,12},30] (* _Harvey P. Dale_, Aug 25 2017 *)

%o (Magma) [(5*7^n+1)/3: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 07 2011

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Last modified February 29 09:21 EST 2024. Contains 370418 sequences. (Running on oeis4.)