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A188582
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Decimal expansion of sqrt(2) - 1.
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0
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4, 1, 4, 2, 1, 3, 5, 6, 2, 3, 7, 3, 0, 9, 5, 0, 4, 8, 8, 0, 1, 6, 8, 8, 7, 2, 4, 2, 0, 9, 6, 9, 8, 0, 7, 8, 5, 6, 9, 6, 7, 1, 8, 7, 5, 3, 7, 6, 9, 4, 8, 0, 7, 3, 1, 7, 6, 6, 7, 9, 7, 3, 7, 9, 9, 0, 7, 3, 2, 4, 7, 8, 4, 6, 2, 1, 0, 7, 0, 3, 8, 8, 5, 0, 3, 8, 7, 5, 3, 4, 3, 2, 7, 6, 4, 1, 5, 7, 2, 7, 3, 5, 0, 1
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OFFSET
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0,1
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COMMENTS
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"In his Book 'The Theory of Poker,' David Sklansky coined the phrase 'Fundamental Theorem of Poker,' a tongue-in-cheek reference to the Fundamental Theorem of Algebra and Fundamental Theorem of Calculus from introductory texts on those two subjects. The constant [sqrt(2) - 1] appears so often in poker analysis that we will in the same vein go so far as to call it 'the golden mean of poker,' and we call it 'r' for short. We will see this value in a number of important results throughout this book."
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REFERENCES
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Bill Chen and Jerrod Ankenman, The Mathematics of Poker, Chpt 14 - You Don't Have To Guess: No-Limit Bet Sizing, pg. 153, ConJelCo, LLC, Pittsburgh PA 2006.
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LINKS
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Table of n, a(n) for n=0..103.
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EXAMPLE
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= 0.414213562373095048801688724209698078569671875376948073176679737990732478...
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MATHEMATICA
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RealDigits[ Sqrt[2] - 1, 10, 111][[1]]
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CROSSREFS
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Cf. A002193, A014176, A020807, A120731.
Sequence in context: A156896 A002193 A020807 * A055190 A155781 A161772
Adjacent sequences: A188579 A188580 A188581 * A188583 A188584 A188585
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KEYWORD
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cons,nonn
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AUTHOR
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Robert G. Wilson v, Apr 04 2011
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STATUS
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approved
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