A204361 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order

74, 241, 241, 764, 713, 764, 2399, 2063, 2063, 2399, 7580, 5812, 5516, 5812, 7580, 23912, 16792, 13721, 13721, 16792, 23912, 75324, 48226, 35690, 29977, 35690, 48226, 75324, 237298, 137407, 92286, 71465, 71465, 92286, 137407, 237298, 747692, 391892

Offset

1,1

Comments

Table starts

.....74....241....764...2399....7580...23912....75324...237298...747692

....241....713...2063...5812...16792...48226...137407...391892..1119476

....764...2063...5516..13721...35690...92286...236382...607036..1562386

...2399...5812..13721..29977...71465..167480...383714...876140..2033788

...7580..16792..35690..71465..174154..412860...901622..2013562..4631014

..23912..48226..92286.167480..412860.1006754..2225410..4825526.10942334

..75324.137407.236382.383714..901622.2225410..5145580.11331092.24907494

.237298.391892.607036.876140.2013562.4825526.11331092.25995176.57710736

Links

R. H. Hardin, Table of n, a(n) for n = 1..721

Formula

Columns 5 through at least 7 have the same linear recurrence relation of order 21 for n>k+25

Example

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

Crossrefs

Sequence in context: A300604 A301329 A121809 * A204354 A223907 A232512

Adjacent sequences: A204358 A204359 A204360 * A204362 A204363 A204364

Keyword

nonn,tabl

Author

R. H. Hardin Jan 14 2012

Status

approved