A189646 - OEIS

%I #5 Mar 31 2012 12:36:16

%S 8,913,55440,3774889,250758892,16718653553,1113666564608,

%T 74192202677913,4942510226322656,329259659094878233,

%U 21934564726533463456,1461233359853832299585,97344209607823094421972

%N Number of nX5 array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally

%C Column 5 of A189650

%H R. H. Hardin, <a href="/A189646/b189646.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 89*a(n-1) -1477*a(n-2) -4543*a(n-3) +263184*a(n-4) -1513204*a(n-5) -1306752*a(n-6) +35401892*a(n-7) -159365905*a(n-8) +257149805*a(n-9) +892208731*a(n-10) -4513333219*a(n-11) +8558134152*a(n-12) -9089002608*a(n-13) +1918713192*a(n-14) +3308770976*a(n-15) +1073595261*a(n-16) -4640349293*a(n-17) +2869297905*a(n-18) +15602314555*a(n-19) -10326794520*a(n-20) -3875198300*a(n-21) +90669080*a(n-22) -191023620*a(n-23) +60740373*a(n-24) +9063*a(n-25) -262791*a(n-26) -729*a(n-27)

%e Some solutions for 3X5

%e ..0..1..6..2..4....0..1..2..9..3....0..5..3..2..8....0..7..3..4..8

%e ..5.12..7..8..3....6..5..7..4..8....1.12..7..4..9....1..6.13..2..9

%e .11.10.13..9.14...10.11.12.13.14....6.10.11.13.14...10..5.11.12.14

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 24 2011