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

1,1

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.

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

Adjacent sequences: A245670 A245671 A245672 * A245674 A245675 A245676

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 29 2014

Status

approved