A258545 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum

220, 784, 784, 2520, 2916, 2520, 8100, 8836, 8836, 8100, 25056, 27889, 20736, 27889, 25056, 77284, 81796, 57600, 57600, 81796, 77284, 234848, 241081, 142544, 161604, 142544, 241081, 234848, 712336, 682276, 381924, 367236, 367236, 381924, 682276

Offset

1,1

Comments

Table starts

.....220......784.....2520.....8100....25056.....77284....234848....712336

.....784.....2916.....8836....27889....81796....241081....682276...1915456

....2520.....8836....20736....57600...142544....381924....956736...2496400

....8100....27889....57600...161604...367236....996004...2414916...6441444

...25056....81796...142544...367236...726880...1784896...3826716...9302500

...77284...241081...381924...996004..1784896...4359744...8773444..21372129

..234848...682276...956736..2414916..3826716...8773444..15444224..34739236

..712336..1915456..2496400..6441444..9302500..21372129..34739236..78039556

.2148108..5262436..6344576.16224784.21443688..47499664..68785192.145154304

.6471936.14341369.16467364.42954916.53027524.118113424.159314884.335292721

Links

R. H. Hardin, Table of n, a(n) for n = 1..793

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) -32*a(n-3) +34*a(n-4) +54*a(n-5) -96*a(n-6) +63*a(n-8) -27*a(n-9)

k=2: [order 42] for n>44

k=3: [order 23] for n>26

k=4: [order 47] for n>48

k=5: [order 24] for n>27

k=6: [same order 47] for n>49

k=7: [same order 24] for n>27

Example

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

Crossrefs

Sequence in context: A234558 A211816 A135807 * A257361 A258538 A257354

Adjacent sequences: A258542 A258543 A258544 * A258546 A258547 A258548

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 02 2015

Status

approved