A210965 - OEIS

%I #17 Feb 16 2025 08:33:17

%S 1,2,7,6,7,1,4,5,3,3,4,8,0,3,7,0,4,6,6,1,7,1,0,9,5,2,0,0,9,7,8,1,8,0,

%T 1,5,8,6,5,7,9,2,8,7,6,0,4,6,1,5,9,5,5,2,0,0,7,4,9,7,6,0,0,8,4,7,4,0,

%U 0,6,2,4,9,2,6,1,2,2,8,5,1,6,7,1,4,1,3,8,9,1

%N Decimal expansion of k such that e^(Pi*k) = round(e^(Pi*sqrt(163))).

%C Decimal expansion of k = log(262537412640768744)/Pi.

%C Note that 262537412640768744 = 24*10939058860032031 = 2^3 * 3 * 10939058860032031, is the nearest integer to the value of Ramanujan's constant e^(Pi*sqrt(163)) = A060295.

%C By construction, this constant here is very close to sqrt(163) = A210963.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/RamanujanConstant.html">Ramanujan constant</a>

%F Equals log(round(e^(Pi*sqrt(163))))/Pi.

%e 12.767145334803704661710952...

%t RealDigits[Log[262537412640768744]/Pi,10,120][[1]] (* _Harvey P. Dale_, Nov 12 2017 *)

%Y Cf. A000796, A060295, A102912, A212131.

%K nonn,cons,less,changed

%O 2,2

%A _Omar E. Pol_, Jun 26 2012