|
%I #26 Sep 08 2022 08:46:00
%S 4,29,179,1079,6479,38879,233279,1399679,8398079,50388479,302330879,
%T 1813985279,10883911679,65303470079,391820820479,2350924922879,
%U 14105549537279,84633297223679,507799783342079,3046798700052479,18280792200314879,109684753201889279
%N a(n) = 5*6^n - 1.
%H Vincenzo Librandi, <a href="/A198794/b198794.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 (7,-6).
%F a(n) = 6*a(n-1) + 5.
%F a(n) = 7*a(n-1) - 6*a(n-2), n > 1.
%F G.f.: ( 4+x ) / ( (6*x-1)*(x-1) ). - _R. J. Mathar_, Oct 30 2011
%t LinearRecurrence[{7,-6},{4,29},30] (* _Harvey P. Dale_, Dec 25 2014 *)
%o (Magma) [5*6^n-1: n in [0..30]]
%o (Python)
%o def a(n): return 5 * 6**n - 1
%o print([a(n) for n in range(22)]) # _Michael S. Branicky_, Apr 29 2021
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Oct 30 2011
|
