login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of 8-step self-avoiding walks on an n X n X n X n 4-cube summed over all starting positions.
1

%I #8 Apr 18 2022 12:53:18

%S 0,24576,3203232,30437760,125478336,352052352,794632800,1558721152,

%T 2770757712,4578094656,7148994304,10672629120,15359081712,21439344832,

%U 29165321376,38809824384,50666577040,65050212672,82296274752

%N Number of 8-step self-avoiding walks on an n X n X n X n 4-cube summed over all starting positions.

%C Row 8 of A188784.

%H R. H. Hardin, <a href="/A188791/b188791.txt">Table of n, a(n) for n = 1..43</a>

%F Empirical: a(n) = 871256*n^4 - 5064008*n^3 + 10076736*n^2 - 8024256*n + 2111616 for n>6.

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 10 2011