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a(n) = floor(n*(e^Pi - Pi^e)).
3

%I #23 Sep 08 2022 08:45:27

%S 0,0,1,2,2,3,4,4,5,6,6,7,8,8,9,10,10,11,12,12,13,14,14,15,16,17,17,18,

%T 19,19,20,21,21,22,23,23,24,25,25,26,27,27,28,29,29,30,31,32,32,33,34,

%U 34,35,36,36,37,38,38,39,40,40,41,42,42,43,44,44,45,46,47,47,48,49,49

%N a(n) = floor(n*(e^Pi - Pi^e)).

%C Beatty sequence of A063504. - _R. J. Mathar_, Aug 11 2012

%H Ivan Panchenko, <a href="/A121930/b121930.txt">Table of n, a(n) for n = 0..10000</a>

%t With[{c=E^Pi-Pi^E},Floor[c*Range[0,80]]] (* _Harvey P. Dale_, Jan 06 2012 *)

%o (PARI) for(n=0,50, print1(floor(n*(exp(Pi) - Pi^exp(1))), ", ")) \\ _G. C. Greubel_, Nov 06 2017

%o (Magma) C<i> := ComplexField(); [Floor(n*(Exp(1)^Pi(C) - Pi(C)^Exp(1) )): n in [0..50]]; // _G. C. Greubel_, Nov 06 2017

%Y Cf. A121854, A121855, A121856, A121857.

%K nonn

%O 0,4

%A _Mohammad K. Azarian_, Sep 02 2006