A256904 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally and vertically

512, 2444, 2444, 9374, 9072, 9374, 34698, 38540, 38540, 34698, 113474, 137381, 202462, 137381, 113474, 330684, 396712, 721051, 721051, 396712, 330684, 914320, 1041135, 1948416, 2212280, 1948416, 1041135, 914320, 2433544, 2401667, 4825736

Offset

1,1

Comments

Table starts

......512.....2444.....9374....34698...113474...330684...914320...2433544

.....2444.....9072....38540...137381...396712..1041135..2401667...5134161

.....9374....38540...202462...721051..1948416..4825736..9929098..19908603

....34698...137381...721051..2212280..4687873..9831933.14332984..24894558

...113474...396712..1948416..4687873..7212370.12286621.12230530..19377777

...330684..1041135..4825736..9831933.12286621.20148566.19349729..30191085

...914320..2401667..9929098.14332984.12230530.19349729.20860406..34612866

..2433544..5134161.19908603.24894558.19377777.30191085.34612866..59078346

..6176662.10237795.36723020.39386679.24869452.44348914.56629422.100148760

.15093057.19375976.65041901.61894886.35469812.64717222.96884013.175274718

Links

R. H. Hardin, Table of n, a(n) for n = 1..1796

Formula

Empirical for column k:

k=1: [linear recurrence of order 68] for n>70

k=2: [order 66] for n>84

Example

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

Crossrefs

Sequence in context: A253935 A253834 A259006 * A256897 A255756 A254845

Adjacent sequences: A256901 A256902 A256903 * A256905 A256906 A256907

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 12 2015

Status

approved