%I #14 Sep 08 2022 08:45:43
%S 5,18,104,816,8064,96000,1336320,21288960,381911040,7617576960,
%T 167215104000,4005730713600,103985499340800,2907670000435200,
%U 87128076504268800,2785241789890560000,94612521108897792000,3403308368004120576000,129232476659005784064000
%N a(n) = 2^(n-1)*(n-1)!*(4*n+1).
%C Exponential (EXP) transform of a(n) is A093620.
%F E.g.f.: Sum_{n>=1} a(n)*x^n/n! = 4*x/(1-2*x)-(1/2)*log(1-2*x).
%t Table[2^(n-1)(n-1)!(4n+1),{n,30}] (* _Harvey P. Dale_, Sep 22 2011 *)
%o (Magma) [2^(n-1)*Factorial(n-1)*(4*n+1): n in [1..25]]; // _Vincenzo Librandi_, Jul 06 2015
%K nonn
%O 1,1
%A _Karol A. Penson_, Mar 19 2009
%E More terms from _Harvey P. Dale_, Sep 22 2011