A254553 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2696, 2696, 12260, 9292, 12260, 47140, 34780, 39661, 47140, 170504, 111443, 129677, 128366, 170504, 586508, 375458, 388056, 380406, 443179, 586508, 1964388, 1206693, 1194944, 1193965, 1191782, 1412248, 1964388, 6462708, 3894656, 3557566

Offset

1,1

Comments

Table starts

......512......2696.....12260.....47140.....170504.....586508....1964388

.....2696......9292.....34780....111443.....375458....1206693....3894656

....12260.....39661....129677....388056....1194944....3557566...10792398

....47140....128366....380406...1193965....3638432...11160591...32790229

...170504....443179...1191782...3450189....8246808...22508196...59892062

...586508...1412248...3475823...9912158...22791266...64180262..174169154

..1964388...4537801..10616893..27729322...59711718..159929222..479026957

..6462708..14148124..30951404..76395530..169166380..422261032.1214424748

.21003228..44000373..91111523.209879361..447759396.1101303388.3174330616

.67662328.134814295.263691372.578181034.1237374354.3062450549.8371947986

Links

R. H. Hardin, Table of n, a(n) for n = 1..422

Formula

Empirical for column k:

k=1: [linear recurrence of order 27] for n>32

k=2: [order 52] for n>59

k=3: [order 91] for n>95

Empirical for row n:

n=1: [linear recurrence of order 27] for n>32

n=2: [order 54] for n>62

Example

Some solutions for n=3 k=4
..0..0..0..1..1..1....0..0..0..0..0..1....0..0..1..0..0..0....0..0..0..0..0..1
..1..1..1..1..1..1....1..0..0..1..1..0....0..0..0..0..1..0....0..0..0..1..1..1
..1..0..0..0..0..0....0..0..1..1..0..1....1..0..0..0..0..0....0..0..0..1..0..1
..0..1..1..1..1..1....0..0..0..0..0..0....1..1..1..1..1..1....1..1..1..1..1..0
..1..1..0..1..1..1....0..0..1..1..0..1....1..0..0..1..1..1....1..0..0..1..1..1

Crossrefs

Column 1 and row 1 are A254476

Sequence in context: A186840 A224643 A186832 * A254483 A254476 A254804

Adjacent sequences: A254550 A254551 A254552 * A254554 A254555 A254556

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 01 2015

Status

approved