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a(n) = floor( n^e ), e = 2.718281828...
2

%I #14 Mar 17 2015 10:08:41

%S 1,6,19,43,79,130,198,285,392,522,677,858,1066,1304,1573,1875,2211,

%T 2583,2992,3440,3927,4457,5029,5646,6309,7019,7777,8585,9445,10356,

%U 11322,12343,13419,14554,15747,17000,18315,19692,21133,22638,24210

%N a(n) = floor( n^e ), e = 2.718281828...

%C A000290(n) <= a(n) <= A000578(n). - _Reinhard Zumkeller_, Mar 17 2015

%H Reinhard Zumkeller, <a href="/A061293/b061293.txt">Table of n, a(n) for n = 1..1000</a>

%e a(5) = floor(5^e) = floor(79.4323591662132397382254690058565...) = 79.

%p for n from 1 to 150 do printf("%d,",floor(n^exp(1))) od;

%t a[n_]:=Floor[n^E]; (* _Vladimir Joseph Stephan Orlovsky_, Dec 12 2008 *)

%o (Haskell)

%o a061293 = floor . (** exp 1) . fromIntegral

%o -- _Reinhard Zumkeller_, Mar 17 2015

%Y Cf. A000149.

%Y Cf. A000290, A000578.

%K nonn,easy

%O 1,2

%A _Amarnath Murthy_, Apr 26 2001

%E More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 19 2001