A154265 -id:A154265 - cp's OEIS frontend

A155958 Decimal expansion of log_5 (24).

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			1.9746358687061644471448860655629491492340451961124485576259...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_5(m): A152675 (m=2), A152914 (m=3), A153101 (m=4), A153461 (m=6), A153616 (m=7), A153739 (m=8), A154008 (m=9), A154156 (m=10), A154177 (m=11), A154198 (m=12), A154265 (m=13), A154465 (m=14), A154564 (m=15), A154759 (m=16), A154850 (m=17), A154910 (m=18), A155035 (m=19), A155184 (m=20), A155553 (m=21), A155696 (m=22), A155821 (m=23), this sequence.

SetDefaultRealField(RealField(100)); Log(24)/Log(5); // G. C. Greubel, Sep 14 2018

RealDigits[Log[5, 24], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)

default(realprecision, 100); log(24)/log(5) \\ G. C. Greubel, Sep 14 2018

A242823 Perimeter (rounded down) of Pi-shaped box fractal after n iterations.

Original entry on oeis.org

1, 2, 5, 15, 39, 103, 269, 700, 1821, 4736, 12313, 32016, 83242, 216429, 562716, 1463063, 3803966, 9890311, 25714810, 66858508, 173832121, 451963515, 1175105140, 3055273364, 7943710747, 20653647942, 53699484649

Offset: 0

Kival Ngaokrajang, May 23 2014

nonn

Let 13 boxes be placed into a 5 X 5 square grid, arranged in the shape of a capital letter Pi (see illustration). Also let the initial side length of a box = 1/28. The side length of a box after n iterations will be 1/(4*A005050(n)) i.e., 1/28, 1/140, 1/700, 1/3500, ... The sides count (any lengths) is 12*A001019(n), i.e., 12, 108, 972, 8748, ... The Hausdorff dimension = log(13)/log(5) = 1.593692641167... or A154265.

Kival Ngaokrajang, Illustration of initial terms
Eric Weisstein's World of Mathematics, Box Fractal
Wikipedia, Vicsek fractal

Cf. A001019, A005050, A154265.

{a=28;b=1;print1(1,", "); for (n=2,50, b=b*0.2; a=(a*13-16*2^(n-1)-8); print1(floor(a*b/28),", "))}

cp's OEIS Frontend

A155958 Decimal expansion of log_5 (24).

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