%I #16 Jan 13 2025 18:55:44
%S 14,31,65,133,269,541,1085,2173,4349,8701,17405,34813,69629,139261,
%T 278525,557053,1114109,2228221,4456445,8912893,17825789,35651581,
%U 71303165,142606333,285212669,570425341,1140850685,2281701373
%N a(n) = 2*a(n-1) + 3 for n>1, a(1)=14.
%H Vincenzo Librandi, <a href="/A156203/b156203.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = 17*2^(n-1)-3.
%F G.f. x*(14-11*x)/((1-x)*(1-2*x)). [_R. J. Mathar_, Feb 09 2009]
%t CoefficientList[Series[(14 - 11 x)/((1-x) (1-2 x)), {x, 0, 40}], x] (* _Vincenzo Librandi_, Apr 08 2013 *)
%t NestList[2#+3&,14,30] (* _Harvey P. Dale_, Jan 13 2025 *)
%o (Magma) [17*2^(n-1)-3: n in [1..30]]; // _Vincenzo Librandi_, Apr 08 2013
%K nonn,easy
%O 1,1
%A _Vincenzo Librandi_, Feb 08 2009
%E Corrected typo in a(11) by _R. J. Mathar_, Feb 09 2009