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A284165 T(n,k)=Number of nXk 0..1 arrays with the number of 1s horizontally or vertically adjacent to some 0 equal to the number of 0s adjacent to some 1, with top left element zero. 8
1, 2, 2, 3, 4, 3, 6, 13, 13, 6, 10, 42, 62, 42, 10, 19, 134, 461, 461, 134, 19, 33, 467, 2872, 5888, 2872, 467, 33, 62, 1689, 21790, 80072, 80072, 21790, 1689, 62, 112, 6210, 154108, 1142173, 2179255, 1142173, 154108, 6210, 112, 212, 23178, 1174235 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1.....2.......3..........6............10..............19.................33

...2.....4......13.........42...........134.............467...............1689

...3....13......62........461..........2872...........21790.............154108

...6....42.....461.......5888.........80072.........1142173...........16699997

..10...134....2872......80072.......2179255........63520018.........1852406216

..19...467...21790....1142173......63520018......3648835932.......213897742464

..33..1689..154108...16699997....1852406216....213897742464.....25064817057781

..62..6210.1174235..247899694...55270158210..12712253739523...2981736353245523

.112.23178.8682209.3717494360.1656400271264.762954434250117.357844048109256955

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143

EXAMPLE

Some solutions for n=4 k=4

..0..1..0..1. .0..0..0..1. .0..0..0..1. .0..0..0..1. .0..1..1..0

..0..0..0..1. .1..0..0..1. .0..1..1..1. .0..1..1..1. .1..0..1..0

..1..1..0..1. .1..0..1..1. .0..1..1..1. .0..0..1..1. .0..1..1..0

..0..1..0..1. .0..1..1..1. .0..0..0..1. .1..0..1..1. .0..1..0..1

CROSSREFS

Column 1 is A274160(n+1).

Sequence in context: A231227 A231441 A284199 * A284113 A324480 A164975

Adjacent sequences:  A284162 A284163 A284164 * A284166 A284167 A284168

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 21 2017

STATUS

approved

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Last modified August 24 18:12 EDT 2019. Contains 326295 sequences. (Running on oeis4.)