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A222616 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order 7
1, 1, 1, 1, 1, 1, 4, 3, 3, 4, 5, 12, 5, 12, 5, 14, 40, 65, 65, 40, 14, 17, 149, 181, 567, 181, 149, 17, 75, 615, 3545, 5746, 5746, 3545, 615, 75, 95, 2659, 11421, 85511, 60550, 85511, 11421, 2659, 95, 411, 11641, 243955, 1409334, 2921905, 2921905, 1409334 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

....1.......1..........1.............4..............5...............14

....1.......1..........3............12.............40..............149

....1.......3..........5............65............181.............3545

....4......12.........65...........567...........5746............85511

....5......40........181..........5746..........60550..........2921905

...14.....149.......3545.........85511........2921905........118162369

...17.....615......11421.......1409334.......43650470.......5996281816

...75....2659.....243955......23117220.....2748085305.....346754406852

...95...11641.....829319.....385330520....44499006072...21456580709691

..411...51672...17592855....6476514601..2935039880037.1373306350646075

..519..231598...61952605..108758391488.48422176002273

.2522.1044550.1284213397.1826675971872

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A222372

Sequence in context: A270651 A222635 A222649 * A011762 A195780 A063571

Adjacent sequences:  A222613 A222614 A222615 * A222617 A222618 A222619

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 26 2013

STATUS

approved

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Last modified December 9 13:50 EST 2019. Contains 329877 sequences. (Running on oeis4.)