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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 -1,-2 or 0,2.
1

%I #6 Jun 26 2022 04:41:28

%S 1,240,7821,167348,3932500,101336088,2478206839,60633004449,

%T 1472189831063,35661243626845,861096242861615,20785591437600100,

%U 501371485057544972,12087053521090888958,291265869175775603257

%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 -1,-2 or 0,2.

%C Row 4 of A264313.

%H R. H. Hardin, <a href="/A264317/b264317.txt">Table of n, a(n) for n = 1..177</a>

%e Some solutions for n=4

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

%e .12..6..5..7..4...12..5..6..7..4....5..6.14..3..8....5.13.14..8..7

%e .10.18.11..8.14...17.10.19..8.13...17.10.12.11..9...10..6.11.12..9

%e .22.23.24.13.17...22.11.16.18.14...22.16.24.13.19...22.15.24.17.19

%e .15.16.20.21.19...15.21.20.23.24...15.20.21.18.23...20.16.21.18.23

%Y Cf. A264313.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 11 2015