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A252910 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order 6
238, 1125, 1125, 5567, 6699, 5567, 28642, 42647, 42647, 28642, 148002, 288263, 361750, 288263, 148002, 771768, 1984711, 3321526, 3321526, 1984711, 771768, 4034881, 13720545, 31101826, 42339952, 31101826, 13720545, 4034881, 21118867 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......238........1125.........5567.........28642........148002........771768

......1125........6699........42647........288263.......1984711......13720545

......5567.......42647.......361750.......3321526......31101826.....293166855

.....28642......288263......3321526......42339952.....551697392....7249491353

....148002.....1984711.....31101826.....551697392...10071548995..185083140208

....771768....13720545....293166855....7249491353..185083140208.4776875393694

...4034881....95366448...2779386634...95923903361.3432079272308

..21118867...664294791..26422127321.1272678322381

.110669161..4628430243.251365182149

.580192543.32278030363

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..67

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 63] for n>64

EXAMPLE

Some solutions for n=2 k=4

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

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

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

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

CROSSREFS

Sequence in context: A129124 A124169 A264885 * A252905 A122266 A286213

Adjacent sequences:  A252907 A252908 A252909 * A252911 A252912 A252913

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 24 2014

STATUS

approved

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Last modified September 26 16:11 EDT 2021. Contains 347669 sequences. (Running on oeis4.)