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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 -1,0 0,2 -1,-2 or 1,0.
1

%I #4 Nov 16 2015 17:16:07

%S 0,0,36,228,1444,8018,44521,258264,1498176,8784648,51509329,298721094,

%T 1732390884,10048882704,58289410624,338365016544,1964179826064,

%U 11397166993164,66132140115889,383699043436626,2226223976362884

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

%C Row 4 of A264520.

%H R. H. Hardin, <a href="/A264522/b264522.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

%e .12.11..2..3..4....0.13.14..3..4....0..1.14..3..4....0.11.12..3..4

%e ..5.18.10..8.19....5..6.19.11.12....5.18.10.11.12...17.18..7..8.19

%e .20.23.24.13.14...10.21.24.23.17...20.23.22.13.24...10.23.24.13.14

%e .15.16.17.21.22...15.16.20.18.22...15.16.17.21.19...15.16.20.21.22

%Y Cf. A264520.

%K nonn

%O 1,3

%A _R. H. Hardin_, Nov 16 2015