A264295 - OEIS

%I #4 Nov 11 2015 07:36:36

%S 5,8,89,192,1413,4352,24781,90112,449665,1781256,8340733,34594368,

%T 156594265,665254400,2958805225,12729812160,56099851853,242965239816,

%U 1065598885233,4631110326400,20260075655037,88211124098304

%N Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 0,-2 1,0 or -1,0.

%C Column 3 of A264299.

%H R. H. Hardin, <a href="/A264295/b264295.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +2*a(n-2) -34*a(n-3) +79*a(n-4) -103*a(n-5) +60*a(n-6) -220*a(n-7) +610*a(n-8) -142*a(n-9) -1276*a(n-10) +1276*a(n-11) +142*a(n-12) -610*a(n-13) +220*a(n-14) -60*a(n-15) +103*a(n-16) -79*a(n-17) +34*a(n-18) -2*a(n-19) -5*a(n-20) +a(n-21)

%e Some solutions for n=4

%e ..4..0..1..2....4..5..1..2....2..0..1..7....2..3..1..7....2..0..1..7

%e ..8..9..5..3....0..9.10..3....6..4..5..3....0..9..5.11....8..9..5..3

%e .12.13..6..7...12.11..6..7...12..8.14.10....4..8..6.15....4.13..6.10

%e .16.17.10.11....8.17.13.19...16..9.13.11...16.17.10.19...16.17.18.11

%e .18.19.14.15...18.16.14.15...18.19.17.15...12.13.14.18...12.19.14.15

%Y Cf. A264299.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 11 2015