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A264016 Number of (n+1) X (7+1) arrays of permutations of 0..n*8+7 with each element having index change +-(.,.) 0,0 1,2 or 2,2. 1

%I #8 Apr 11 2022 13:02:59

%S 64,7921,1464100,146410000,17394972100,2089022169025,252579343635025,

%T 30557658560100100,3696969485250250000,447272452462938576100,

%U 54112631066129736180025,6546741114347411138472025

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

%C Column 7 of A264017.

%H R. H. Hardin, <a href="/A264016/b264016.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 130*a(n-1) -1191*a(n-2) +13340*a(n-3) -146501*a(n-4) -159459*a(n-5) -1321*a(n-6) +1321*a(n-7) +159459*a(n-8) +146501*a(n-9) -13340*a(n-10) +1191*a(n-11) -130*a(n-12) +a(n-13) for n>15.

%e Some solutions for n=2

%e ..0.11.20..3.14.15..6..7....0..1.12..3.22..5..6..7...10..1..2..3.14.15..6..7

%e .18..9.10..1.22.13..4..5....8..9.20.11..2.23.14.15...18..9..0.21.12.23..4..5

%e .16.17..8.19..2.21.12.23...16.17.18.19.10.21..4.13...16.17..8.19.20.11.22.13

%Y Cf. A264017.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 01 2015

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Last modified August 11 16:28 EDT 2024. Contains 375073 sequences. (Running on oeis4.)