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%I #31 Sep 29 2022 02:15:13
%S 1,8,28,80,208,512,1216,2816,6400,14336,31744,69632,151552,327680,
%T 704512,1507328,3211264,6815744,14417920,30408704,63963136,134217728,
%U 281018368,587202560,1224736768,2550136832,5301600256,11005853696,22817013760
%N a(n) = (3*n+1)*2^n.
%H Vincenzo Librandi, <a href="/A130129/b130129.txt">Table of n, a(n) for n = 0..300</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4).
%F a(n+1) - a(n) = A066373(n+3). - _J. M. Bergot_, Apr 21 2013
%F G.f.: ( 1+4*x ) / (1-2*x)^2. - _R. J. Mathar_, Apr 25 2013
%F E.g.f.: (1+6*x)*exp(2*x). - _G. C. Greubel_, Sep 28 2022
%t Table[2^n*(3*n+1), {n,0,30}] (* _G. C. Greubel_, Sep 28 2022 *)
%o (Magma) [(3*n+1)*2^n: n in [0..30]]; // _Vincenzo Librandi_, May 04 2011
%o (SageMath) [2^n*(3*n+1) for n in range(30)] # _G. C. Greubel_, Sep 28 2022
%Y Cf. A016921 (inverse binomial transform).
%Y Cf. A062111, A066373.
%K nonn,easy
%O 0,2
%A _Paul Curtz_, Aug 01 2007
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