A254900 -id:A254900

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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

+10
8

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

(list; table; graph; refs; listen; history; text; internal format)

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

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 18 2015

STATUS

approved

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