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Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 0,1 0,-2 1,0 or -1,0.
1

%I #4 Nov 11 2015 07:37:38

%S 10,24,332,1672,14881,94320,727970,5007568,36810037,260065872,

%T 1879629293,13401693600,96300347984,688757565024,4939301950829,

%U 35364587001168,253437366557901,1815239251597664,13005718649832378,93165035471145160

%N Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 0,1 0,-2 1,0 or -1,0.

%C Column 4 of A264299.

%H R. H. Hardin, <a href="/A264296/b264296.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..5..6..4..8..3....5..6..1..2..3....5..0..4..2..3....2..3..1..8..9

%e ..0..1..2..7.14....0..8..9..7..4....7..1..6.13..8....0..5..6..7..4

%e .12.16.17.18..9...12.10.11.18.13...15.10.11.12..9...12.13.11.18.19

%e .10.11.19.13.24...17.21.16.23.14...17.21.16.23.14...10.21.16.17.14

%e .15.20.21.22.23...15.20.24.22.19...22.20.24.18.19...15.20.24.22.23

%Y Cf. A264299.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 11 2015