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A264070 Number of (n+1) X (7+1) arrays of permutations of 0..n*8+7 with each element having index change +-(.,.) 0,0 1,1 or 1,2.

%I A264070 #10 Mar 26 2025 18:45:08
%S A264070 610,75625,15892745,3057071776,601052131669,118020590202856,
%T A264070 23180312098708413,4552817445649814704,894213655660356295077,
%U A264070 175631478939257301328632,34495577433083786070527245,6775236817617034700050817216,1330716496160907700646992379893
%N A264070 Number of (n+1) X (7+1) arrays of permutations of 0..n*8+7 with each element having index change +-(.,.) 0,0 1,1 or 1,2.
%H A264070 R. H. Hardin, <a href="/A264070/b264070.txt">Table of n, a(n) for n = 1..210</a>
%F A264070 Empirical: a(n) = 191*a(n-1) +1102*a(n-2) -7594*a(n-3) -38349*a(n-4) +38507*a(n-5) for n > 8.
%e A264070 Some solutions for n=2:
%e A264070 ..0..1..2..3.14..5..6..7...10..1..2.12..4..5.15..7....9..1..2..3..4..5..6..7
%e A264070 ..8..9.19.20.12.23..4.15....8..0.19.21..3.22.14..6....8..0.10.20.22.23.14.15
%e A264070 .16.17.18.10.11.21.22.13...16.17.18..9.20.11.13.23...16.17.18.19.11.21.12.13
%Y A264070 Column 7 of A264071.
%K A264070 nonn
%O A264070 1,1
%A A264070 _R. H. Hardin_, Nov 02 2015