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A206383 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..3 introduced in row major order. 8
15, 85, 85, 641, 1369, 641, 5257, 25945, 25945, 5257, 44585, 520097, 1198601, 520097, 44585, 385465, 10690969, 57656713, 57656713, 10690969, 385465, 3375401, 222329489, 2808967145, 6554439373, 2808967145, 222329489, 3375401, 29817817 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......15..........85.............641................5257

.......85........1369...........25945..............520097

......641.......25945.........1198601............57656713

.....5257......520097........57656713..........6554439373

....44585....10690969......2808967145........748963157161

...385465...222329489....137393517193......85678539791333

..3375401..4648291369...6728546532521....9803619036105721

.29817817.97418918945.329641979105737.1121819841273065957

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

EXAMPLE

Some solutions for n=4 k=3

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

..1..0..1..0....0..0..0..0....0..2..0..1....0..1..0..0....2..1..3..2

..1..1..1..1....0..0..0..0....2..1..2..0....0..0..3..0....0..1..3..1

..1..0..1..2....0..0..0..0....0..2..2..2....3..0..0..0....3..1..0..0

..1..1..1..1....0..0..0..0....1..0..2..0....2..3..0..1....3..1..2..3

CROSSREFS

Column 1 is A206170.

Sequence in context: A241220 A279740 A281189 * A020136 A176033 A067401

Adjacent sequences:  A206380 A206381 A206382 * A206384 A206385 A206386

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 07 2012

STATUS

approved

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Last modified June 20 23:44 EDT 2021. Contains 345316 sequences. (Running on oeis4.)