%I #17 Jun 30 2023 18:52:22
%S 5,12,28,64,144,320,704,1536,3328,7168,15360,32768,69632,147456,
%T 311296,655360,1376256,2883584,6029312,12582912,26214400,54525952,
%U 113246208,234881024,486539264,1006632960,2080374784,4294967296,8858370048,18253611008,37580963840,77309411328,158913789952
%N a(n) = n*2^(n-5).
%H Vincenzo Librandi, <a href="/A196410/b196410.txt">Table of n, a(n) for n = 5..3000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4, -4).
%F G.f.: x^5*( 5-8*x ) / (2*x-1)^2 . - _R. J. Mathar_, Oct 13 2011
%F From _Amiram Eldar_, Jan 12 2021: (Start)
%F Sum_{n>=5} 1/a(n) = 32*log(2) - 131/6.
%F Sum_{n>=5} (-1)^(n+1)/a(n) = 32*log(3/2) - 77/6. (End)
%t Table[n*2^(n-5), {n, 5, 37}] (* _Amiram Eldar_, Jan 12 2021 *)
%o (Magma) [n*2^(n-5): n in [5..40]]
%Y Cf. A045623, A078836.
%K nonn,easy
%O 5,1
%A _Vincenzo Librandi_, Oct 04 2011