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%I #6 Apr 21 2021 13:45:52
%S 2,2,42,228,1644,10368,65182,414414,2603670,16540506,104489208,
%T 662121980,4188014160,26506383680,167699955140,1061128778004,
%U 6714156638826,42483540261942,268814679252084,1700917160828256,10762539724166324
%N Number of (n+1) X (4+1) arrays of permutations of 0..n*5+4 with each element having directed index change -1,0 0,2 -1,-2 or 1,0.
%C Column 4 of A264520.
%H R. H. Hardin, <a href="/A264516/b264516.txt">Table of n, a(n) for n = 1..210</a>
%H R. H. Hardin, <a href="/A264516/a264516.txt">Empirical recurrence of order 84</a>
%F Empirical recurrence of order 84 (see link above)
%e Some solutions for n=4
%e ..5..6..0..8..9....7..8..0..1..2....7..6..9..1..2....7..8..0..1..2
%e .12..1..2..3..4...12.13.14..3..4....0.13..5..3..4...12.11.14..3..4
%e .17.18..7.11.19....5..6.19.18..9...17.18.10..8.12....5..6.19.18..9
%e .10.23.24.13.14...10.11.24.23.17...22.11.24.23.14...10.23.24.13.17
%e .15.16.20.21.22...15.16.20.21.22...15.16.20.21.19...15.16.20.21.22
%Y Cf. A264520.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 16 2015