A030815 - OEIS

%I #15 Mar 14 2020 13:09:34

%S 1,1,3,11,44,220,1323,9263,74109,666985,6669851,73368371,880420460,

%T 11445465992,160236523888,2403547858330,38456765733280,

%U 653765017465772,11767770314383911,223587635973294318,4471752719465886368,93906807108783613747,2065949756393239502442

%N a(n) = floor(exp(14/23) * n!).

%e 14/23 = 0.60869565217391304347826...

%e e^(14/23) = 1.838032400991473194432...

%e floor(e^(14/23) * 1!) = 1, so a(1) = 1.

%e e^(14/23) * 2! = 3.67606480198294638886471465..., so a(2) = 3.

%e e^(14/23) * 3! = 11.028194405948839166594143961..., so a(3) = 11.

%e e^(14/23) * 4! = 44.112777623795356666376575845..., so a(4) = 44.

%t Floor[E^(14/23) Range[20]!] (* _Alonso del Arte_, Mar 08 2020 *)

%Y Cf. A021027 (1/23).

%K nonn,easy

%O 0,3

%A _Simon Plouffe_