The On-Line Encyclopedia of Integer Sequences (OEIS)

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A226042

Decimal expansion of Pi-333/106.
(history; published version)

#7 by Charles R Greathouse IV at Sat Oct 01 14:12:50 EDT 2022

STATUS

editing

approved

#6 by Charles R Greathouse IV at Sat Oct 01 14:12:47 EDT 2022

LINKS

<a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

MATHEMATICA

Join[{0, 0, 0, 0}, RealDigits[Pi-333/106, 10, 96][[1]]] [_(* _Jean-François Alcover_, May 24 2013] *)

PROG

(PARI) Pi - 333/106 \\ Charles R Greathouse IV, Oct 01 2022

STATUS

approved

editing

#5 by Ralf Stephan at Sat May 25 05:04:14 EDT 2013

STATUS

proposed

approved

#4 by Jean-François Alcover at Fri May 24 08:52:22 EDT 2013

STATUS

editing

proposed

#3 by Jean-François Alcover at Fri May 24 08:52:02 EDT 2013

NAME

allocated for Jean-François Alcover

Decimal expansion of Pi-333/106.

DATA

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

OFFSET

0,5

LINKS

S. K. Lucas, <a href="http://educ.jmu.edu/~lucassk/Papers/more%20on%20pi.pdf">Integral approximations to Pi with nonnegative integrands.</a>

FORMULA

Pi-333/106 = 1/530*integral_{x=0..1} x^5*(1-x)^6*(197+462*x^2)/(1+x^2).

EXAMPLE

0.000083219627529087519247156864408544574527889941143556824001196081401311946...

MATHEMATICA

Join[{0, 0, 0, 0}, RealDigits[Pi-333/106, 10, 96][[1]]] [Jean-François Alcover, May 24 2013]

CROSSREFS

Cf. A003077, A002485, A002486.

KEYWORD

allocated

nonn,cons

AUTHOR

Jean-François Alcover, May 24 2013

STATUS

approved

editing

#2 by Jean-François Alcover at Fri May 24 08:47:33 EDT 2013

KEYWORD

allocating

allocated

#1 by Jean-François Alcover at Fri May 24 08:47:33 EDT 2013

NAME

allocated for Jean-François Alcover

KEYWORD

allocating

STATUS

approved