

A260849


Decimal expansion of the maximum performance (operations per second) of an "ultimate laptop".


0




OFFSET

51,1


COMMENTS

The "ultimate laptop" is a hypothetical computer formed by compressing a kilogram of matter into a black hole the size of its Schwarzschild radius.
Every physical system holds binary digits in the states of its particles. "Computation" makes changes in those states. A system with average energy E can perform a maximum of 2 * E / (Pi * A254181) logical operations per second. The "ultimate laptop" turns all of its matter into energy.
Bremermann's limit gives an even tighter bound of 1.35639... * 10^50 operations per second if the laptop is selfcontained.  Charles R Greathouse IV, Apr 18 2016


LINKS

Table of n, a(n) for n=51..57.
Seth Lloyd, Ultimate physical limits to computation (arXiv)
Wikipedia, Black hole
Wikipedia, Limits to computation


FORMULA

Equals 2 * (1 kg) * A182999 / (Pi * A254181).


EXAMPLE

5.425570*10^50 operations per second.


CROSSREFS

Cf. A070058, A182999, A254181.
Sequence in context: A309442 A213205 A094778 * A246746 A180131 A257972
Adjacent sequences: A260846 A260847 A260848 * A260850 A260851 A260852


KEYWORD

nonn,cons,hard


AUTHOR

Arkadiusz Wesolowski, Aug 01 2015


STATUS

approved



