A252397 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 4

2205, 21544, 21544, 224346, 437023, 224346, 2302050, 9807871, 9807871, 2302050, 23364738, 203636149, 454970982, 203636149, 23364738, 237415904, 4246242886, 19516646285, 19516646285, 4246242886, 237415904, 2418956843, 89843675557

Offset

1,1

Comments

Table starts

......2205.......21544.........224346...........2302050............23364738

.....21544......437023........9807871.........203636149..........4246242886

....224346.....9807871......454970982.......19516646285........851022689884

...2302050...203636149....19516646285.....1721897188968.....153561179184793

..23364738..4246242886...851022689884...153561179184793...28203141901710764

.237415904.89843675557.37408598546844.13852142421855853.5252935058161288682

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 39] for n>45

Example

Some solutions for n=1 k=4
..0..0..1..0..1..0....0..0..1..1..0..2....0..0..1..0..2..1....0..0..1..1..0..0
..0..1..1..1..1..1....0..0..0..1..0..1....0..0..0..1..0..0....0..1..1..0..0..0
..0..1..1..1..0..1....0..1..0..0..0..0....0..2..0..0..1..1....0..0..1..0..0..2

Crossrefs

Sequence in context: A233444 A125015 A348743 * A252392 A175915 A098192

Adjacent sequences: A252394 A252395 A252396 * A252398 A252399 A252400

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2014

Status

approved