A187046 - OEIS

%I #6 Mar 31 2012 12:36:07

%S 1,4,0,9,4,0,16,20,0,0,25,52,28,0,0,36,100,136,24,0,0,49,164,360,272,

%T 8,0,0,64,244,696,1084,456,0,0,0,81,340,1144,2660,2896,584,0,0,0,100,

%U 452,1704,5032,9216,6952,400,0,0,0,121,580,2376,8164,20648,29500,14024,80,0

%N T(n,k)=Number of n-step one or two space at a time bishop's tours on a kXk board summed over all starting positions

%C Table starts

%C .1.4..9..16....25......36......49......64......81.....100.....121....144....169

%C .0.4.20..52...100.....164.....244.....340.....452.....580.....724....884...1060

%C .0.0.28.136...360.....696....1144....1704....2376....3160....4056...5064...6184

%C .0.0.24.272..1084....2660....5032....8164...12056...16708...22120..28292..35224

%C .0.0..8.456..2896....9216...20648...37472...59524...86656..118868.156160.198532

%C .0.0..0.584..6952...29500...79088..162320..281320..435436..623508.845084

%C .0.0..0.400.14024...86608..285048..668176.1272720.2110944.3180724

%C .0.0..0..80.22200..226864..961728.2625640.5543744.9907248

%C .0.0..0...0.26672..522608.3009408.9817240

%C .0.0..0...0.22448.1050048.8701592

%H R. H. Hardin, <a href="/A187046/b187046.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical: Row n is a polynomial of degree 2 for k>2n-3

%e Some n=4 solutions for 4X4

%e ..0..2..0..0....0..4..0..0....0..0..0..0....4..0..0..0....0..3..0..0

%e ..1..0..3..0....0..0..0..0....0..0..3..0....0..3..0..0....0..0..2..0

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

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

%Y Row 2 is A108099(n-2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 02 2011