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Number of (5+1) X (n+1) arrays of permutations of 0..n*6+5 with each element having directed index change -1,0 0,2 -1,-2 or 1,0.
1

%I #6 Jan 16 2024 09:43:12

%S 1,12,144,1644,18769,169195,1525225,14158040,131423296,1263160840,

%T 12140734225,114747871035,1084536870921,10220222182842,96311102247684,

%U 909854806065252,8595434470172356,81152480791177280,766188743735526400

%N Number of (5+1) X (n+1) arrays of permutations of 0..n*6+5 with each element having directed index change -1,0 0,2 -1,-2 or 1,0.

%C Row 5 of A264520.

%H R. H. Hardin, <a href="/A264523/b264523.txt">Table of n, a(n) for n = 1..63</a>

%e Some solutions for n=4

%e ..7..6..0..1..2....5..6..7..1..9....5..6..7..1..9....7..6..0..8..2

%e .10.13..5..3..4....0.13..2..3..4....0.13..2..3..4...12..1..5..3..4

%e .15.16.19..8..9...17.18.19..8.12...17.18.19..8.12...15.16.17.11..9

%e .22.11.12.23.14...10.11.22.23.14...10.11.15.23.14...10.23.22.13.14

%e .27.28.17.18.29...15.16.27.28.29...25.16.27.28.29...27.28.29.18.19

%e .20.21.25.26.24...20.21.25.26.24...20.21.22.26.24...20.21.25.26.24

%Y Cf. A264520.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 16 2015