A253097 Moments of 6-step random walk in 4 dimensions.

1, 6, 51, 546, 6906, 99156, 1573011, 27045906, 496875786, 9648849516, 196398517266, 4162468827996, 91368155193516, 2068136816127336, 48099850263089271, 1146002911372510146, 27900188933013974226, 692586162911883821196, 17497841261192358474126, 449207277104544688505556

Offset

0,2

Links

Georg Fischer, Table of n, a(n) for n = 0..400

Jonathan M. Borwein, A short walk can be beautiful, 2015.

Jonathan M. Borwein, Armin Straub and Christophe Vignat, Densities of short uniform random walks, Part II: Higher dimensions, Preprint, 2015.

Sergey Kirgizov, Khaydar Nurligareev, and Michael Wallner, Brick Wall Excursions: Combinatorial Interpretation of Random Flight Moments, arXiv:2605.16715 [math.CO], 2026. See p. 4.

Crossrefs

Cf. A253095 (4-step), A253096 (5-step).

Sequence in context: A305965 A255518 A208250 * A345259 A124565 A057817

Adjacent sequences: A253094 A253095 A253096 * A253098 A253099 A253100

Keyword

nonn

Author

N. J. A. Sloane, Feb 16 2015

Status

approved