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A264553 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.

%I A264553 #4 Nov 17 2015 15:39:50
%S A264553 0,10,45,216,1528,11728,66372,403920,2587588,16422928,100924052,
%T A264553 627229368,3931197172,24518011160,152485541704,950191656704,
%U A264553 5926384223020,36928044675096,230056295804064,1433703853124720
%N A264553 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.
%C A264553 Row 4 of A264550.
%H A264553 R. H. Hardin, <a href="/A264553/b264553.txt">Table of n, a(n) for n = 1..210</a>
%H A264553 R. H. Hardin, <a href="/A264553/a264553.txt">Empirical recurrence of order 56</a>
%F A264553 Empirical recurrence of order 56 (see link above)
%e A264553 Some solutions for n=4
%e A264553 ..1..2..3..4..7....1..2..3..6..8....1..2..5..6..8....1..5..3..4..7
%e A264553 ..0.10.11..9.12....0..7.11..9..4....0..7.10..3..4....0.10..2..9.12
%e A264553 ..5..6.15..8.18....5.15.16.14.18...11.12.13.17..9...11..6.13..8.18
%e A264553 .16.17.20.13.14...10.20.12.13.23...16.20.18.21.14...16.17.20.21.14
%e A264553 .21.22.23.24.19...21.22.17.24.19...15.22.23.24.19...15.22.23.24.19
%Y A264553 Cf. A264550.
%K A264553 nonn
%O A264553 1,2
%A A264553 _R. H. Hardin_, Nov 17 2015