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A201888 T(n,k)=Number of zero-sum nXk -2..2 arrays with every element equal to at least one horizontal or vertical neighbor 4
0, 1, 1, 1, 9, 1, 5, 63, 63, 5, 1, 413, 765, 413, 1, 23, 3293, 26003, 26003, 3293, 23, 25, 25123, 559115, 2171313, 559115, 25123, 25, 97, 196811, 16513425, 184247585, 184247585, 16513425, 196811, 97, 155, 1610765, 435630965, 16910703303 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0......1........1.........5.........1..........23........25......97.155

..1......9.......63.......413......3293.......25123....196811.1610765

..1.....63......765.....26003....559115....16513425.435630965

..5....413....26003...2171313.184247585.16910703303

..1...3293...559115.184247585

.23..25123.16513425

.25.196811

.97

LINKS

Table of n, a(n) for n=1..40.

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Sequence in context: A006752 A271856 A164802 * A185825 A198879 A161321

Adjacent sequences:  A201885 A201886 A201887 * A201889 A201890 A201891

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 06 2011

STATUS

approved

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Last modified April 23 02:15 EDT 2019. Contains 322380 sequences. (Running on oeis4.)