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

%I #4 Nov 10 2015 14:58:35

%S 1,69,556,4484,47492,448821,4227024,40561798,385401502,3654429812,

%T 34690006705,329163589542,3121764930650,29603292090987,

%U 280717647093650,2661785027200918,25238274365506684,239298584328248763

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

%C Row 4 of A264285.

%H R. H. Hardin, <a href="/A264288/b264288.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..0..1..2..3..4....0..1..9..2..3....7..1..9..2..3....0..1..9..2..4

%e ..5.13..6..7..9...12..6..7..8..4....0..5..6..8..4....5..6..7..3..8

%e .17.10.12..8.14....5.10.11.13.14...10.18.11.12.14...17.10.11.12.14

%e .15.11.16.18.19...15.23.16.17.19...22.15.16.13.19...22.23.16.13.19

%e .20.21.22.23.24...20.21.22.18.24...20.21.17.23.24...15.20.21.18.24

%Y Cf. A264285.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 10 2015