A204652 Number of (n+2)X3 0..3 arrays with every 3x3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..3 introduced in row major order

4600, 162622, 6255285, 215282843, 7670500426, 276834777101, 9852548472740, 351748482361692, 12583296678169443, 449405519252736272, 16054145722116305411, 573672688065558115433, 20495517759790080129994

Offset

1,1

Comments

Column 1 of A204655

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 40*a(n-1) -250*a(n-2) +8189*a(n-3) -199926*a(n-4) +1149548*a(n-5) -1075908*a(n-6) +13706290*a(n-7) +37924153*a(n-8) -610987298*a(n-9) -1734589438*a(n-10) -7117567215*a(n-11) -6921357222*a(n-12) +62992277114*a(n-13) +253688144200*a(n-14) +824119262620*a(n-15) +1666129122200*a(n-16) +2018351170136*a(n-17) +1823940488736*a(n-18) -781591017544*a(n-19) -3976302679328*a(n-20) -4832243371576*a(n-21) -3862872652400*a(n-22) -2720794783168*a(n-23) +2880329559024*a(n-24) +9825274864032*a(n-25) +7593811262400*a(n-26) -3373436801664*a(n-27) -8626889885184*a(n-28) -3447912379392*a(n-29) +2373810333696*a(n-30) +2896767664128*a(n-31) +232151629824*a(n-32) -781712031744*a(n-33) -113069260800*a(n-34) +81792073728*a(n-35)

Example

Some solutions for n=3
..0..0..0....0..0..0....0..1..0....0..1..0....0..0..0....0..0..0....0..1..0
..1..1..1....0..0..1....0..0..1....0..1..0....0..0..1....0..0..1....0..0..1
..0..0..0....0..2..1....1..1..0....0..1..0....1..0..1....1..0..2....0..2..2
..2..0..0....1..2..1....2..2..2....0..1..1....1..2..0....1..0..1....1..1..1
..2..1..1....1..0..1....1..2..1....0..0..0....1..0..0....0..0..0....2..0..1

Crossrefs

Sequence in context: A185470 A004537 A204655 * A032745 A020437 A157364

Adjacent sequences: A204649 A204650 A204651 * A204653 A204654 A204655

Keyword

nonn

Author

R. H. Hardin Jan 17 2012

Status

approved