A184095 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

86, 216, 216, 684, 260, 684, 1714, 1146, 1146, 1714, 4434, 2848, 9483, 2848, 4434, 10610, 9945, 40401, 40401, 9945, 10610, 24754, 28434, 235003, 368326, 235003, 28434, 24754, 55451, 87119, 1025854, 4086234, 4086234, 1025854, 87119, 55451

Offset

1,1

Comments

Table starts

.....86.....216.......684.......1714........4434.......10610.......24754

....216.....260......1146.......2848........9945.......28434.......87119

....684....1146......9483......40401......235003.....1025854.....4969133

...1714....2848.....40401.....368326.....4086234....35402227...305194632

...4434....9945....235003....4086234....91203410..1530840869.25951449861

..10610...28434...1025854...35402227..1530840869.55632308352

..24754...87119...4969133..305194632.25951449861

..55451..254174..22190358.2367377082

.120398..732978.100488243

.253258.2062353

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for 3X3
..1..2..2....1..1..2....1..1..1....0..2..2....1..2..2....1..2..2....2..2..2
..2..1..1....1..3..0....1..1..2....1..0..0....3..0..2....2..2..2....2..3..3
..3..0..3....2..0..2....1..2..0....1..2..2....3..1..3....2..2..3....3..1..3
...
...6..6.......6..6.......4..5.......3..4.......6..6.......7..8.......9..10...

Crossrefs

Sequence in context: A202525 A202777 A202770 * A097693 A184087 A304518

Adjacent sequences: A184092 A184093 A184094 * A184096 A184097 A184098

Keyword

nonn,tabl

Author

R. H. Hardin Jan 09 2011

Status

approved