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A264073 Number of (4+1) X (n+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,1 or 1,2.

%I A264073 #11 Mar 26 2025 19:12:44
%S A264073 16,377,12100,239580,5645376,130697424,3057071776,70815364224,
%T A264073 1640245587376,37991496430624,879962725844576,20381782810954224,
%U A264073 472084850498355776,10934475563176382624,253265394378463623376,5866157880096665663424,135872523597900600539776
%N A264073 Number of (4+1) X (n+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,1 or 1,2.
%H A264073 R. H. Hardin, <a href="/A264073/b264073.txt">Table of n, a(n) for n = 1..210</a>
%F A264073 Empirical: a(n) = 24*a(n-1) -19*a(n-2) -11*a(n-3) +36*a(n-4) +3*a(n-5) for n > 9.
%e A264073 Some solutions for n=3:
%e A264073 ..5..1..7..3....0..1..7..3....0..6..2..3....5..6..7..3....0..1..7..3
%e A264073 ..4..0..6..2...10..5.11..2....4.11..1..7....4..0..1..2....4.10..6..2
%e A264073 .13..9.15.11....8.15..4..6...14..9.15..5....8..9.10.11...14..9..5.11
%e A264073 .17..8.14.10...17.18.14..9...17.18..8.10...18.13.14.15...18..8.19.15
%e A264073 .16.12.18.19...16.12.13.19...16.12.13.19...16.17.12.19...16.17.12.13
%Y A264073 Row 4 of A264071.
%K A264073 nonn
%O A264073 1,1
%A A264073 _R. H. Hardin_, Nov 02 2015