A257209 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally and vertically

512, 2423, 2423, 7579, 7800, 7579, 22901, 20815, 20815, 22901, 72249, 67606, 49932, 67606, 72249, 219706, 191070, 146246, 146246, 191070, 219706, 616608, 443711, 263630, 387056, 263630, 443711, 616608, 1656147, 992467, 411303, 594621, 594621

Offset

1,1

Comments

Table starts

......512....2423....7579...22901...72249..219706..616608.1656147.4391684

.....2423....7800...20815...67606..191070..443711..992467.2153497.4441745

.....7579...20815...49932..146246..263630..411303..729311.1137502.1610329

....22901...67606..146246..387056..594621..753005.1140763.1355370.1545878

....72249..191070..263630..594621..654637..640929..958492.1132789.1248657

...219706..443711..411303..753005..640929..516615..675943..769789..876597

...616608..992467..729311.1140763..958492..675943..848628.1025500.1197017

..1656147.2153497.1137502.1355370.1132789..769789.1025500.1271947.1494084

..4391684.4441745.1610329.1545878.1248657..876597.1197017.1494084.1749293

.11530065.8865989.2274915.1893932.1572262.1089188.1484651.1849557.2155486

Links

R. H. Hardin, Table of n, a(n) for n = 1..1921

Formula

Empirical for column k:

k=1: [linear recurrence of order 44] for n>50

Example

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

Crossrefs

Column 1 is A254900

Sequence in context: A254568 A254561 A254907 * A254900 A253841 A253935

Adjacent sequences: A257206 A257207 A257208 * A257210 A257211 A257212

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 18 2015

Status

approved