A255091 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

108, 265, 265, 623, 522, 623, 1483, 964, 964, 1483, 3658, 2005, 1824, 2005, 3658, 8830, 4405, 3696, 3696, 4405, 8830, 21442, 9989, 8631, 9484, 8631, 9989, 21442, 51939, 22601, 20972, 24034, 24034, 20972, 22601, 51939, 125961, 50980, 50587, 63535

Offset

1,1

Comments

Table starts

....108....265....623....1483.....3658.....8830.....21442......51939

....265....522....964....2005.....4405.....9989.....22601......50980

....623....964...1824....3696.....8631....20972.....50587.....121381

...1483...2005...3696....9484....24034....63535....169879.....457314

...3658...4405...8631...24034....70938...211945....644545....1975790

...8830...9989..20972...63535...211945...753882...2657415....9064874

..21442..22601..50587..169879...644545..2657415..10823026...41029852

..51939..50980.121381..457314..1975790..9064874..41029852..176178559

.125961.114903.289648.1242486..5959612.29870755.147005440..707838529

.305879.261406.701088.3394161.17859777.97410200.528612584.2852501049

Links

R. H. Hardin, Table of n, a(n) for n = 1..967

Formula

Empirical for column k:

k=1: [linear recurrence of order 20] for n>23

k=2: [order 80] for n>84

k=3: [order 34] for n>39

k=4: [order 39] for n>45

k=5: [order 42] for n>51

k=6: [order 48] for n>56

k=7: [order 54] for n>63

Example

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

Crossrefs

Sequence in context: A202202 A202195 A242867 * A255084 A252337 A204284

Adjacent sequences: A255088 A255089 A255090 * A255092 A255093 A255094

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 14 2015

Status

approved