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A245673
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Decimal expansion of C, a coin tossing constant related to the asymptotic variance of the length of the longest run of consecutive heads.
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1
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3, 5, 0, 7, 0, 4, 8, 0, 7, 5, 8, 7, 0, 6, 3, 6, 7, 3, 0, 8, 2, 6, 8, 5, 9, 0, 1, 0, 8, 9, 8, 2, 8, 9, 0, 0, 5, 7, 3, 6, 4, 2, 0, 3, 5, 6, 5, 8, 2, 2, 6, 9, 0, 6, 0, 6, 1, 7, 5, 0, 7, 9, 9, 3, 7, 5, 5, 4, 8, 5, 5, 0, 3, 2, 5, 7, 0, 7, 2, 8, 9, 8, 5, 7, 3, 8, 7, 2, 5, 1, 8, 8, 2, 3, 7, 9, 4, 1, 2, 2, 3, 2, 0, 4, 1
(list;
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refs;
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text;
internal format)
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OFFSET
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1,1
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.11 Feller Coin Tossing Constants, p. 341.
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LINKS
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Eric Weisstein's World of Mathematics, Run.
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FORMULA
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C = 1/12 + Pi^2/(6*log(2)^2).
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EXAMPLE
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3.5070480758706367308268590108982890057364203565822690606175079937554855...
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MATHEMATICA
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RealDigits[1/12 + Pi^2/(6*Log[2]^2), 10, 105] // First
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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