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a(n) = floor(exp(2/17)*n!).
0

%I #8 Sep 25 2023 22:59:22

%S 1,2,6,26,134,809,5669,45353,408184,4081844,44900294,538803530,

%T 7004445892,98062242500,1470933637503,23534938200055,400093949400940,

%U 7201691089216926,136832130695121608,2736642613902432167

%N a(n) = floor(exp(2/17)*n!).

%t With[{c=Exp[2/17]},Floor[c*Range[20]!]] (* _Harvey P. Dale_, Dec 15 2013 *)

%o (Magma) [Floor(Exp(2/17)*Factorial(n)) : n in [1..25]]; // _Wesley Ivan Hurt_, Sep 25 2023

%K nonn

%O 1,2

%A _Simon Plouffe_