A231823 Number of nX3 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)

3, 64, 1205, 21770, 393408, 7103846, 128269829, 2316065437, 41819317551, 755097522661, 13634184224634, 246181419676326, 4445098469972866, 80261542222378463, 1449217650304070918, 26167349141400257966

Offset

1,1

Comments

Column 3 of A231828

Links

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

Formula

Empirical: a(n) = 26*a(n-1) -158*a(n-2) +239*a(n-3) +509*a(n-4) -1399*a(n-5) +1090*a(n-6) -11112*a(n-7) +15301*a(n-8) +80873*a(n-9) -119580*a(n-10) -188287*a(n-11) +130867*a(n-12) +298685*a(n-13) +639811*a(n-14) -796809*a(n-15) -1910156*a(n-16) +1602985*a(n-17) +1883568*a(n-18) -1014662*a(n-19) -1402360*a(n-20) -8047*a(n-21) +1663065*a(n-22) -635592*a(n-23) -991770*a(n-24) +711081*a(n-25) +461787*a(n-26) -343648*a(n-27) -210676*a(n-28) +150221*a(n-29) -4791*a(n-30) +4420*a(n-31) -8402*a(n-32) +6071*a(n-33) -3686*a(n-34) +632*a(n-35) +69*a(n-36) for n>37

Example

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

Crossrefs

Sequence in context: A099338 A289668 A119924 * A174841 A084883 A304288

Adjacent sequences: A231820 A231821 A231822 * A231824 A231825 A231826

Keyword

nonn

Author

R. H. Hardin, Nov 14 2013

Status

approved