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Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,0 0,1 1,0 -1,0 or 0,-2.
1

%I #6 Nov 10 2015 11:42:43

%S 25,596,7949,97332,1333336,17998869,239444309,3206571105,42979177264,

%T 575296080953,7702384533720,103142708693752,1381065615672537,

%U 18492137390484313,247609727452490081,3315483272705326348

%N Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,0 0,1 1,0 -1,0 or 0,-2.

%C Row 3 of A264217.

%H R. H. Hardin, <a href="/A264220/b264220.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..5..3..1..2..4....5..1..4..2..9....2..0..1..3..9....0..6..7..3..9

%e ..0..6..9..7..8....0.11..7..3..8....7..5.12..8..4....5..1..2..8..4

%e .10.16.11.12.14...10..6.12.13.14...10..6.11.13.14...10.16.11.13.19

%e .17.15.19.13.18...15.18.16.17.19...17.15.16.18.19...17.15.12.18.14

%Y Cf. A264217.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2015