A187171 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A187171

Number of 10-step self-avoiding walks on an n X n X n cube summed over all starting positions.

2

0, 0, 414912, 6654048, 30938640, 85654320, 181790352, 330218544, 541990896, 828222216, 1200035436, 1668553872, 2244900840, 2940199656, 3765573636, 4732146096, 5851040352, 7133379720, 8590287516, 10232887056, 12072301656

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..50

FORMULA

Empirical: a(n) = 1853886*n^3 - 12825630*n^2 + 27515184*n - 18252624 for n>8

CROSSREFS

Row 10 of A187162.

Sequence in context: A251828 A256732 A078519 * A178203 A152869 A251960

Adjacent sequences: A187168 A187169 A187170 * A187172 A187173 A187174

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 06 2011

STATUS

approved