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a(n) = floor(exp(8/19)*n!).
0

%I #9 Jul 09 2023 15:09:46

%S 1,1,3,9,36,182,1096,7678,61430,552871,5528710,60815817,729789815,

%T 9487267606,132821746496,1992326197440,31877219159043,541912725703747,

%U 9754429062667447,185334152190681505,3706683043813630117,77840343920086232475,1712487566241897114452

%N a(n) = floor(exp(8/19)*n!).

%t Floor[Exp[8/19]Range[30]!] (* _Harvey P. Dale_, Jul 08 2023 *)

%K nonn

%O 0,3

%A _Simon Plouffe_

%E a(0)=1 prepended by _Alois P. Heinz_, Jul 09 2023