A232276 Number of nX3 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors

9, 199, 1672, 18117, 184115, 1774344, 17764558, 178471267, 1771400531, 17642252587, 176152966672, 1755746806600, 17498252087398, 174492908718136, 1739802753524141, 17345014184699169, 172936211392283816

Offset

1,1

Comments

Column 3 of A232281

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -18*a(n-2) +519*a(n-3) -2040*a(n-4) +3043*a(n-5) -74525*a(n-6) +72611*a(n-7) -419003*a(n-8) +2780261*a(n-9) +746621*a(n-10) +13183774*a(n-11) -19468140*a(n-12) -36145594*a(n-13) -110263109*a(n-14) -133899468*a(n-15) +334282595*a(n-16) +329786843*a(n-17) +1622613490*a(n-18) -411666702*a(n-19) -727313352*a(n-20) -3837079952*a(n-21) -4919529456*a(n-22) +1329556928*a(n-23) +366342080*a(n-24) +11429099072*a(n-25) +4372362240*a(n-26) +665206272*a(n-27) +601740288*a(n-28) -11698587648*a(n-29) +503857152*a(n-30) -3370954752*a(n-31) -586579968*a(n-32) +3368189952*a(n-33) -743178240*a(n-34) +1401421824*a(n-35) for n>36

Example

Some solutions for n=4
..1..0..2....2..0..0....1..0..0....1..0..0....2..2..1....0..0..2....1..1..0
..0..2..0....0..0..1....0..1..1....0..1..0....1..0..0....2..0..0....0..0..0
..1..0..1....0..0..1....0..0..0....2..0..2....0..0..0....0..2..0....2..0..1
..0..1..2....2..0..0....1..0..2....2..2..0....0..1..0....2..0..0....0..2..2

Crossrefs

Sequence in context: A157563 A003026 A157594 * A196910 A064756 A197077

Adjacent sequences: A232273 A232274 A232275 * A232277 A232278 A232279

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved