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A187046 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 7
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, 8, 0, 0, 64, 244, 696, 1084, 456, 0, 0, 0, 81, 340, 1144, 2660, 2896, 584, 0, 0, 0, 100, 452, 1704, 5032, 9216, 6952, 400, 0, 0, 0, 121, 580, 2376, 8164, 20648, 29500, 14024, 80, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

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

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

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

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

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

.0.0..0.400.14024...86608..285048..668176.1272720.2110944.3180724

.0.0..0..80.22200..226864..961728.2625640.5543744.9907248

.0.0..0...0.26672..522608.3009408.9817240

.0.0..0...0.22448.1050048.8701592

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

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

EXAMPLE

Some n=4 solutions for 4X4

..0..2..0..0....0..4..0..0....0..0..0..0....4..0..0..0....0..3..0..0

..1..0..3..0....0..0..0..0....0..0..3..0....0..3..0..0....0..0..2..0

..0..0..0..4....0..1..0..3....0..0..0..2....0..0..1..0....0..1..0..4

..0..0..0..0....0..0..2..0....4..0..1..0....0..0..0..2....0..0..0..0

CROSSREFS

Row 2 is A108099(n-2)

Sequence in context: A187377 A187155 A187296 * A188777 A016683 A100074

Adjacent sequences:  A187043 A187044 A187045 * A187047 A187048 A187049

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 02 2011

STATUS

approved

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Last modified August 10 11:52 EDT 2020. Contains 336379 sequences. (Running on oeis4.)