A153459 Decimal expansion of log_3 (6).

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

Offset

1,2

Comments

Equals the Hausdorff dimension of Pascal's triangle modulo 3 (A083093). In general, the dimension of Pascal's triangle modulo a prime p is log(p*(p+1)/2) / log(p) (see Reiter link, theorem 2 page 117). - Bernard Schott, Dec 01 2022

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000.

A. M. Reiter, Determining the dimension of fractals generated by Pascal's triangle, Fibonacci Quarterly, 31(2), 1993, pp. 112-120.

Wikipedia, List of fractals by Hausdorff dimension (see Pascal triangle modulo 3).

Index entries for transcendental numbers

Formula

Equals A016629 / A002391 = 1 + A102525. - Bernard Schott, Dec 01 2022

Example

1.6309297535714574370995271143427608542995856401318804278706...

Maple

evalf(log(6)/log(3), 80); # Bernard Schott, Dec 01 2022

Mathematica

RealDigits[Log[3, 6], 10, 120][[1]] (* Vincenzo Librandi, Aug 29 2013 *)

Crossrefs

cf. A002391, A016629, A083093, A102525.

Sequence in context: A333549 A191896 A100125 * A102525 A119923 A359194

Adjacent sequences: A153456 A153457 A153458 * A153460 A153461 A153462

Keyword

nonn,cons

Author

N. J. A. Sloane, Oct 30 2009

Status

approved