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A201803 T(n,k)=Number of zero-sum nXk -2..2 arrays with every element unequal to at most two horizontal and vertical neighbors 8
1, 5, 5, 19, 85, 19, 85, 455, 455, 85, 381, 3617, 4057, 3617, 381, 1751, 28625, 48335, 48335, 28625, 1751, 8135, 235827, 562961, 988589, 562961, 235827, 8135, 38165, 1972115, 7099021, 20960485, 20960485, 7099021, 1972115, 38165, 180325, 16703881 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

......1.........5.........19..........85.........381........1751..........8135

......5........85........455........3617.......28625......235827.......1972115

.....19.......455.......4057.......48335......562961.....7099021......90062519

.....85......3617......48335......988589....20960485...472565771...10857153407

....381.....28625.....562961....20960485...722587629.27941324053.1077779765471

...1751....235827....7099021...472565771.27941324053

...8135...1972115...90062519.10857153407

..38165..16703881.1168520339

.180325.142672901

.856945

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

EXAMPLE

Some solutions for n=4 k=3

.-1..1.-2....2..2.-2...-2..2..2....0..1..2....0..1..1....2..0..0....0.-1..2

.-1..1..1...-2..2.-2....2..2..2...-2..1..1...-1.-1..1....1..0..0....1.-1.-1

..0..1..1...-2..2.-2...-2.-2.-2...-2..1..1...-1.-1.-1....1.-1.-1....1..1..1

..0..0.-1...-1..2..1....1.-2.-1...-1.-1.-1....2..2.-2...-2.-1..1...-1.-1.-1

CROSSREFS

Column 1 is A005191

Sequence in context: A305514 A039914 A274910 * A151789 A339320 A302176

Adjacent sequences:  A201800 A201801 A201802 * A201804 A201805 A201806

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 05 2011

STATUS

approved

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Last modified June 24 20:41 EDT 2021. Contains 345425 sequences. (Running on oeis4.)