A210965 Decimal expansion of k such that e^(Pi*k) = round(e^(Pi*sqrt(163))).

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

Offset: 2

Author

Omar E. Pol, Jun 26 2012

Keywords

• nonn
• cons
• less

Comments

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

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.

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

Examples

			12.767145334803704661710952...
		

Links

• Eric Weisstein's World of Mathematics, Ramanujan constant

Crossrefs

Cf. A000796, A060295, A102912, A212131.

Programs

Mathematica

RealDigits[Log[262537412640768744]/Pi,10,120][[1]] (* Harvey P. Dale, Nov 12 2017 *)

Formula

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