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A019670 Decimal expansion of Pi/3. 9
1, 0, 4, 7, 1, 9, 7, 5, 5, 1, 1, 9, 6, 5, 9, 7, 7, 4, 6, 1, 5, 4, 2, 1, 4, 4, 6, 1, 0, 9, 3, 1, 6, 7, 6, 2, 8, 0, 6, 5, 7, 2, 3, 1, 3, 3, 1, 2, 5, 0, 3, 5, 2, 7, 3, 6, 5, 8, 3, 1, 4, 8, 6, 4, 1, 0, 2, 6, 0, 5, 4, 6, 8, 7, 6, 2, 0, 6, 9, 6, 6, 6, 2, 0, 9, 3, 4, 4, 9, 4, 1, 7, 8, 0, 7, 0, 5, 6, 8 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

With an offset of zero, also the decimal expansion of Pi/30 ~ 0.104719... which is the average arithmetic area <S_0> of the 0-winding sectors enclosed by a closed Brownian planar path, of a given length t, according to Desbois, p.1. - Jonathan Vos Post, Jan 23 2011

LINKS

Jean Desbois, Stephane Ouvry, Algebraic and arithmetic area for m planar Brownian paths, arXiv:1101.4135, Jan 21, 2011.

FORMULA

A third of A000796, a sixth of A019692, the square root of A100044.

sum_{k >= 0} (-1)^k/(6k+1) + (-1)^k/(6k+5). [Charles R Greathouse IV, Sep 08 2011]

EXAMPLE

1.047197551196597746154214461093167628065723133125035273658314864102605...

MATHEMATICA

RealDigits[N[Pi/3, 6! ]] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 02 2009]

PROG

(PARI) Pi/3 \\ Charles R Greathouse IV, Sep 08 2011

CROSSREFS

Sequence in context: A021216 A085508 A198347 * A093436 A082169 A078220

Adjacent sequences:  A019667 A019668 A019669 * A019671 A019672 A019673

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.