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A245673
Decimal expansion of C, a coin tossing constant related to the asymptotic variance of the length of the longest run of consecutive heads.
1
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
OFFSET
1,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.11 Feller Coin Tossing Constants, p. 341.
LINKS
Eric Weisstein's World of Mathematics, Run.
FORMULA
C = 1/12 + Pi^2/(6*log(2)^2).
EXAMPLE
3.5070480758706367308268590108982890057364203565822690606175079937554855...
MATHEMATICA
RealDigits[1/12 + Pi^2/(6*Log[2]^2), 10, 105] // First
CROSSREFS
Cf. A244293.
Sequence in context: A224932 A094771 A348723 * A021885 A222480 A229984
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved