A016636 Decimal expansion of log(13).

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

Examples

			2.56494935746153673605348744156531860480526794476020711641904551...
		

References

• Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 2.

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
• Index entries for transcendental numbers

Crossrefs

Cf. A016441 Continued fraction.

Programs

Mathematica

RealDigits[Log[13], 10, 100][[1]] (* Alonso del Arte, Jun 12 2015 *)

PARI

default(realprecision, 20080); x=log(13); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016636.txt", n, " ", d)); \\ Harry J. Smith, May 16 2009, corrected May 19 2009

Formula

Equals 2*log(2)+log(3) -sum_{k>=1} (-1)^k /(k*12^k). - R. J. Mathar, Jun 10 2024