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A145961
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Decimal expansion of 2*log(3) - 4*arccot(2) used in BBP Pi formula.
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4
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3, 4, 2, 6, 3, 4, 1, 4, 1, 3, 3, 2, 9, 9, 4, 9, 1, 7, 9, 3, 3, 4, 6, 5, 5, 4, 8, 0, 0, 0, 1, 9, 3, 8, 0, 1, 1, 8, 0, 8, 3, 2, 8, 9, 8, 5, 0, 1, 0, 1, 7, 8, 4, 8, 2, 2, 5, 6, 5, 6, 3, 1, 2, 3, 9, 4, 1, 9, 7, 1, 2, 9, 7, 7, 4, 2, 5, 1, 1, 1, 2, 5, 4, 4, 8, 3, 0, 3, 7, 3, 6, 8, 7, 9, 1, 2, 6, 0, 7, 3
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OFFSET
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0,1
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COMMENTS
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BBP formula for Pi = 4*A145963 - (1/2)*A145960 - (1/2)*A145961 - A145962.
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LINKS
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Table of n, a(n) for n=0..99.
Eric Weisstein's World of Mathematics, BBP Formula.
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FORMULA
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Equals 2*log(3) - 4*arccot(2).
Equals (1/3)*Hypergeometric2F1(1, 3/4, 7/4, 1/16).
Equals Sum_{k>=0} (1/16)^k/(4*k+3).
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EXAMPLE
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0.342634141332994917933465548000193801180832898501017848225656312394197...
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MATHEMATICA
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First[RealDigits[2Log[3] - 4ArcCot[2], 10, 100]]
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PROG
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(PARI) 2*log(3) - 4*atan(1/2) \\ Michel Marcus, Jan 16 2021
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CROSSREFS
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Cf. A000796, A145960, A145962, A145963.
Sequence in context: A133620 A322965 A154570 * A082928 A139524 A247413
Adjacent sequences: A145958 A145959 A145960 * A145962 A145963 A145964
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KEYWORD
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cons,nonn
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AUTHOR
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Artur Jasinski, Oct 25 2008
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EXTENSIONS
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Leading zero removed, offset adjusted by R. J. Mathar, Feb 05 2009
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STATUS
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approved
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