A248878 Decimal expansion of a_0, a constant related to a cylindrical random walk probability asymptotics.

8, 1, 0, 9, 9, 7, 5, 3, 1, 1, 9, 6, 2, 8, 9, 5, 8, 5, 0, 3, 7, 8, 7, 2, 3, 9, 2, 3, 1, 8, 0, 0, 7, 9, 4, 2, 8, 9, 5, 5, 2, 4, 7, 0, 3, 4, 2, 6, 7, 4, 1, 0, 4, 6, 0, 3, 9, 1, 6, 3, 8, 9, 6, 0, 0, 4, 1, 8, 7, 7, 1, 9, 1, 7, 1, 9, 7, 8, 4, 5, 7, 5, 5, 5, 1, 9, 3, 7, 9, 0, 1, 6, 0, 5, 9, 1, 1, 4, 3, 3, 6, 8, 4, 3, 7

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Saibal Mitra and Bernard Nienhuis, Osculating Random Walks on Cylinders, arXiv:0708.1763 [math-ph], 2003.

Saibal Mitra, Exact asymptotics of the characteristic polynomial of the symmetric Pascal matrix, arXiv:0708.1763 [math-ph], 2007-2008.

Formula

a_0 = (2^(23/72)/3^(5/48))*((Pi^(1/4)*exp((-4^(-1))*zeta'(-1)))/sqrt(Gamma(1/4))).

Example

0.810997531196289585037872392318007942895524703426741046...

Mathematica

a0 = 2^(23/72)*(Glaisher*Pi)^(1/4)/(3^(5/48)*E^(1/48)*Sqrt[Gamma[1/4]]); RealDigits[a0, 10, 105] // First

Crossrefs

Cf. A074962.

Sequence in context: A011437 A021929 A176459 * A168387 A050466 A095893

Adjacent sequences: A248875 A248876 A248877 * A248879 A248880 A248881

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Mar 05 2015

Status

approved