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A016631
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Decimal expansion of log(8).
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3
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2, 0, 7, 9, 4, 4, 1, 5, 4, 1, 6, 7, 9, 8, 3, 5, 9, 2, 8, 2, 5, 1, 6, 9, 6, 3, 6, 4, 3, 7, 4, 5, 2, 9, 7, 0, 4, 2, 2, 6, 5, 0, 0, 4, 0, 3, 0, 8, 0, 7, 6, 5, 7, 6, 2, 3, 6, 2, 0, 4, 0, 0, 2, 8, 4, 8, 0, 1, 8, 0, 8, 6, 5, 9, 0, 9, 0, 8, 4, 1, 4, 6, 8, 1, 7, 5, 8, 9, 9, 8, 0, 9, 8, 9, 2, 5, 6, 0, 6
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OFFSET
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1,1
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COMMENTS
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a(n+1) is also the sequence of digits in the base ten expansion of the number representing the probability that an acute triangle could be formed with the pieces obtained by breaking a stick into three parts at random. The breaking points are chosen with uniform distribution and independently of one another.
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 2.
Eugen J. Ionascu and Gabriel Prajitura, Things to do with a broken stick, arXiv:1009.0890v1 [math.HO]
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LINKS
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Harry J. Smith, Table of n, a(n) for n = 1..20000
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
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EXAMPLE
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2.079441541679835928251696364374529704226500403080765762362040028480180... [Harry J. Smith, May 16 2009]
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MAPLE
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a:=proc(n)
local x, y, z, w;
Digits:=2*n+1;
x:=3*ln(2); y:=floor(10^(n-2)*x)*10;
z:=floor(10^(n-1)*x); w:=z-y;
end:
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MATHEMATICA
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RealDigits[Log[8], 10, 90][[1]] (* Bruno Berselli, Mar 26 2013 *)
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PROG
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(PARI) { default(realprecision, 20080); x=log(8); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016631.txt", n, " ", d)); } [From Harry J. Smith, May 16 2009]
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CROSSREFS
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Cf. A016736 (continued fraction). [Harry J. Smith, May 16 2009]
Sequence in context: A011389 A021485 A019821 * A164269 A121814 A195298
Adjacent sequences: A016628 A016629 A016630 * A016632 A016633 A016634
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Fixed my PARI program, had -n Harry J. Smith, May 19 2009
Gave another definition of the sequence in terms of a geometric probability and added a Maple code to compute it.
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STATUS
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approved
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