0,1

The return probability equals unity minus this constant. The expected number of visits to the origin is the inverse of this constant, A091670.

Table of n, a(n) for n=0..86.

Shunya Ishioka and Masahiro Koiwa, Random walks on diamond and hexagonal close packed lattices, Phil. Mag. A, 37 (1978), 517-533.

G. L. Montet, Integral methods in the calculation of correlation factors in diffusion, Phys. Rev. B 7 (1973), 650-662.

Index entries for sequences related to b.c.c. lattice

Index entries for sequences related to walks

Pi^2/(4*K(1/sqrt(2))^2), where K is the complete elliptic integral of the first kind.

0.7177700110461299978211932236657794...

Cf. A091670, A242761, A293237.

Sequence in context: A295872 A010772 A199732 * A210708 A210529 A151785

Adjacent sequences: A293235 A293236 A293237 * A293239 A293240 A293241

nonn,cons

Andrey Zabolotskiy, Oct 03 2017

approved