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A204483 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order 9
80, 307, 307, 1157, 1326, 1157, 1899, 3147, 3147, 1899, 7191, 2745, 608, 2745, 7191, 24718, 8114, 1587, 1587, 8114, 24718, 70726, 29959, 2632, 1482, 2632, 29959, 70726, 277992, 111707, 9290, 3270, 3270, 9290, 111707, 277992, 996500, 425010, 34964 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....80....307...1157...1899...7191..24718..70726.277992..996500.3558732

....307...1326...3147...2745...8114..29959.111707.425010.1602835.6076455

...1157...3147....608...1587...2632...9290..34964.124697..471260.1787757

...1899...2745...1587...1482...3270..11364..33788.125749..476619.1783368

...7191...8114...2632...3270...6494..11338..35990.132258..473380.1786812

..24718..29959...9290..11364..11338..18410..47369.133889..481694.1808046

..70726.111707..34964..33788..35990..47369..66580.159783..520508.1817618

.277992.425010.124697.125749.132258.133889.159783.265906..597389.1914547

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

FORMULA

Empirical for column k:

k=1: (order 33 recurrence)

k=2..7: a(n) = 4*a(n-1) +a(n-2) -2*a(n-3) -19*a(n-4) -4*a(n-5) +21*a(n-6) +24*a(n-7) +3*a(n-8) -18*a(n-9) -9*a(n-10) for n>13

EXAMPLE

Some solutions for n=3 k=3

..0..1..1..1..1....0..1..1..2..0....0..0..1..2..1....0..1..2..1..0

..0..1..1..0..1....0..1..1..1..1....0..0..1..2..1....0..1..2..1..0

..0..1..1..0..1....0..1..1..0..1....0..0..1..2..1....0..1..2..1..0

..0..1..1..0..1....1..1..1..0..1....0..0..1..2..1....0..1..2..1..0

..0..1..1..0..1....2..1..1..0..1....0..0..1..2..1....0..1..2..1..0

CROSSREFS

Sequence in context: A234883 A194646 A057441 * A204475 A157953 A233958

Adjacent sequences:  A204480 A204481 A204482 * A204484 A204485 A204486

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 15 2012

STATUS

approved

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Last modified March 4 04:39 EST 2021. Contains 341779 sequences. (Running on oeis4.)