A245673 Decimal expansion of C, a coin tossing constant related to the asymptotic variance of the length of the longest run of consecutive heads.
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
Examples
3.5070480758706367308268590108982890057364203565822690606175079937554855...
References
- Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.11 Feller Coin Tossing Constants, p. 341.
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
- Eric Weisstein's World of Mathematics, Run.
Crossrefs
Cf. A244293.
Programs
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Mathematica
RealDigits[1/12 + Pi^2/(6*Log[2]^2), 10, 105] // First
Formula
C = 1/12 + Pi^2/(6*log(2)^2).