login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A316123 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 7

%I

%S 1,1,1,1,4,1,1,7,7,1,1,13,13,13,1,1,26,23,23,26,1,1,49,47,56,47,49,1,

%T 1,99,144,213,213,144,99,1,1,194,391,702,1109,702,391,194,1,1,387,

%U 1118,2524,5426,5426,2524,1118,387,1,1,773,3330,9034,26626,43480,26626,9034

%N T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Table starts

%C .1...1....1.....1......1........1.........1..........1............1

%C .1...4....7....13.....26.......49........99........194..........387

%C .1...7...13....23.....47......144.......391.......1118.........3330

%C .1..13...23....56....213......702......2524.......9034........33185

%C .1..26...47...213...1109.....5426.....26626.....133245.......708063

%C .1..49..144...702...5426....43480....283238....2064800.....15977233

%C .1..99..391..2524..26626...283238...2525039...25192165....261795432

%C .1.194.1118..9034.133245..2064800..25192165..351431316...5223691497

%C .1.387.3330.33185.708063.15977233.261795432.5223691497.112149224917

%H R. H. Hardin, <a href="/A316123/b316123.txt">Table of n, a(n) for n = 1..197</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1)

%F k=2: a(n) = a(n-1) +3*a(n-2) -4*a(n-4) for n>5

%F k=3: [order 17] for n>19

%F k=4: [order 70] for n>71

%e Some solutions for n=5 k=4

%e ..0..1..1..0. .0..1..1..0. .0..0..0..1. .0..1..1..0. .0..0..0..0

%e ..1..1..0..1. .1..0..1..1. .1..1..0..1. .0..1..0..1. .1..1..1..1

%e ..1..0..1..1. .1..1..1..0. .0..1..1..0. .1..0..0..1. .1..1..1..1

%e ..0..1..0..1. .0..0..1..1. .1..1..0..1. .1..1..1..0. .1..1..1..1

%e ..1..0..0..1. .1..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..0..0

%Y Column 2 is A304004.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Jun 24 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 18 10:13 EDT 2019. Contains 327170 sequences. (Running on oeis4.)