A157519 Number of three-dimensional prudent n-step walks.

1, 6, 30, 150, 726, 3510, 16734, 79518, 375246, 1766382, 8278638, 38721366, 180556206, 840524742, 3903866526, 18106798830, 83832778110, 387690560718, 1790330065854, 8259528315558, 38059497518214, 175228328442174, 805959153119262, 3704270575724550

Offset

0,2

Links

Table of n, a(n) for n=0..23.

Timothy M. Garoni, Anthony J. Guttmann, Iwan Jensen, John C. Dethridge, Prudent walks and polygons, J. Phys. A: Math. Theor. 42 (2009) 095205, Table 1.

Crossrefs

Cf. A151719, A151720.

Sequence in context: A073965 A214940 A002913 * A075886 A001412 A162937

Adjacent sequences: A157516 A157517 A157518 * A157520 A157521 A157522

Keyword

nonn,walk

Author

R. J. Mathar, Mar 02 2009

Extensions

Two more terms added from the Garoni et al. paper by N. J. A. Sloane, Jun 11 2009

Status

approved