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%I #6 Nov 10 2015 11:08:46
%S 32,1600,70560,2944656,130196484,5479256484,236489590800,
%T 10133933691456,435454125148224,18715402270845504,804342346014521170,
%U 34567413325396398225,1485617314097191256064,63846248910505848729856
%N Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-1 or 2,2.
%C Column 5 of A264190.
%H R. H. Hardin, <a href="/A264187/b264187.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 43*a(n-1) -a(n-2) +6304280137*a(n-8) -271084045891*a(n-9) +6304280137*a(n-10) -21506471693602896*a(n-16) +924778282824924528*a(n-17) -21506471693602896*a(n-18) +39722441580383416010*a(n-24) -1708064987956486888430*a(n-25) +39722441580383416010*a(n-26) -39722441580383416010*a(n-32) +1708064987956486888430*a(n-33) -39722441580383416010*a(n-34) +21506471693602896*a(n-40) -924778282824924528*a(n-41) +21506471693602896*a(n-42) -6304280137*a(n-48) +271084045891*a(n-49) -6304280137*a(n-50) +a(n-56) -43*a(n-57) +a(n-58)
%e Some solutions for n=3
%e ..0..6..2..3..4..5...14..6..2..3..4..5....0..1..2.17..4.10....0.15..7..8..4.10
%e .20.12.13.14.10.16....1.12..8.23.10.11....6.12.13.23..5.11....6..2..3.14..5.16
%e ..7..8..9..1.11.22....7.18..0.20.16.22....7..8.19.20.21..3...12.18..9..1.11.17
%e .18.19.15.21.17.23...13.19.15.21.17..9...18.14.15.16.22..9...13.19.20.21.22.23
%Y Cf. A264190.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 06 2015
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