A216582 Decimal expansion of the logarithm of Pi to base 2.

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

Offset: 1

Author

Alonso del Arte, Sep 09 2012

Keywords

• nonn
• cons
• easy

Examples

			1.651496129472318798...
		

References

• Jörg Arndt and Christoph Haenel, Pi Unleashed, New York: Springer (2001), p. 239.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002162, A020857, A053510, A053511, A061444, A094642.

Programs

Magma

SetDefaultRealField(RealField(100)); R:= RealField(); Log(Pi(R))/Log(2); // G. C. Greubel, Apr 08 2019

Maple

evalf(log[2](Pi)) ; # R. J. Mathar, Sep 11 2012

Mathematica

RealDigits[Log[2, Pi], 10, 105][[1]]

PARI

log(Pi)/log(2) \\ Michel Marcus, Mar 05 2019

Sage

log(pi,2).n(digits=100) # Jani Melik, Oct 05 2012

Formula

Log_2(Pi) = log(Pi) / log(2) = A053510 / A002162.

Equals (A061444 / A002162) - 1 = (A094642 / A002162) + 1. - John W. Nicholson, Mar 12 2019