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

1,2

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

Formula

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

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

Example

1.651496129472318798...

Maple

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

Mathematica

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

Prog

(Sage) log(pi, 2).n(digits=100) # Jani Melik, Oct 05 2012
(PARI) log(Pi)/log(2) \\ Michel Marcus, Mar 05 2019
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Log(Pi(R))/Log(2); // G. C. Greubel, Apr 08 2019

Crossrefs

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

Sequence in context: A296470 A195774 A320833 * A340543 A177824 A242000

Adjacent sequences: A216579 A216580 A216581 * A216583 A216584 A216585

Keyword

nonn,cons,easy

Author

Alonso del Arte, Sep 09 2012

Status

approved