A264361 - OEIS

%I #8 Jan 07 2019 12:41:30

%S 36,400,5184,65536,831744,10549504,133818624,1697440000,21531453696,

%T 273119121664,3464422799616,43945019842816,557427566889216,

%U 7070778289926400,89690407502010624,1137692184365383936

%N Number of (n+1) X (5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,0 0,2 1,0 or -1,-2.

%H R. H. Hardin, <a href="/A264361/b264361.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) + 22*a(n-2) - 8*a(n-3).

%F Empirical g.f.: 4*x*(9 + x - 2*x^2) / ((1 + 2*x)*(1 - 13*x + 4*x^2)). - _Colin Barker_, Jan 07 2019

%e Some solutions for n=4:

%e ..0..9.10.11..2..3....8..1..0..3..2..5....8..9..2..1..4..5....0..9.10..3..2..5

%e ..6..1..8..7..4..5....6.15.16..9..4.11....0..7..6..3.10.11....6..1..8.17..4.11

%e .12.21.14.13.16.15...12..7.22.23.10.17...20.21.14.23.16.15...12..7.14.13.16.15

%e .26.27.28.29.20.17...26.13.14.29.20.21...12.13.18.19.22.17...26.27.28.19.20.23

%e .18.19.24.25.22.23...18.19.24.25.28.27...24.25.26.27.28.29...18.25.24.21.22.29

%Y Column 5 of A264364.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 12 2015