login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 0,1 or 1,2.
1

%I #6 Nov 10 2015 10:48:56

%S 64,6765,1210000,94000060,10427064769,1084282319384,118020590202856,

%T 12417526726851620,1326024276162241425,141133437011428928000,

%U 15037363809591528083800,1601021055218612828398400

%N Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 0,1 or 1,2.

%C Row 6 of A264071.

%H R. H. Hardin, <a href="/A264075/b264075.txt">Table of n, a(n) for n = 1..152</a>

%F Empirical: a(n) = 119*a(n-1) -1238*a(n-2) -11504*a(n-3) +132848*a(n-4) +180912*a(n-5) -203520*a(n-6) +1542400*a(n-7) +2403200*a(n-8) -768000*a(n-9) +640000*a(n-10) for n>19

%e Some solutions for n=2

%e ..0..5..2....0..5..2....0..1..2....0..5..2....4..5..2....0..5..2....0..1..2

%e ..8..4..1....8..4..1....3..8..5....3..8..1....8..0..1....7..8..1....8..4..5

%e ..6.11..3...10.11..3...11..7..4...10..7..4....6.11..3...11..3..4...11..7..3

%e ..9.10..7...14..6..7...13.14..6....9..6.11...14.10..7....9.14..6...13.14..6

%e .17.13.14...12.13..9...12..9.10...12.17.14...12.17..9...17.13.10...12..9.10

%e .15.16.12...20.16.17...19.20.17...19.20.13...19.16.13...19.20.12...20.16.17

%e .18.19.20...18.19.15...18.15.16...18.15.16...18.15.20...18.15.16...18.19.15

%Y Cf. A264071.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 02 2015