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

%I #6 Nov 10 2015 11:30:52

%S 65,1280,40626,1143000,33729146,981994496,28735927165,839596650695,

%T 24544787527541,717416324352000,20970567317759053,612971699603292777,

%U 17917345209329491525,523728155369756381184,15308707141186512270826

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

%C Column 4 of A264272.

%H R. H. Hardin, <a href="/A264268/b264268.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A264268/a264268.txt">Empirical recurrence of order 52</a>

%F Empirical recurrence of order 52 (see link above)

%e Some solutions for n=3

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

%e ..0..1.12..8..2...12.11.14..8..2....0.11.14..8..9....0..1.12.13..9

%e .10.18..7.13.14...15..6..5.13..7...15.18..7..6.19...17..6..5.18.19

%e .15.16.17.11.19...10.16.17.18.19...10.16.17.13.12...15.16.10.11.14

%Y Cf. A264272.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 10 2015