A231857 Number of 3Xn 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)

9, 55, 656, 7339, 85288, 991167, 11529929, 134163686, 1561220559, 18167587282, 211412670503, 2460168784055, 28628514590530, 333144562652494, 3876739724171184, 45112880641621747, 524969986286019848

Offset

1,1

Comments

Row 3 of A231855

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -33*a(n-2) -96*a(n-3) +258*a(n-4) +412*a(n-5) -873*a(n-6) -1455*a(n-7) +1110*a(n-8) +4203*a(n-9) +2658*a(n-10) -10249*a(n-11) -12826*a(n-12) +15687*a(n-13) +27224*a(n-14) -12857*a(n-15) -37317*a(n-16) +9206*a(n-17) +17841*a(n-18) +107*a(n-19) +3350*a(n-20) -8989*a(n-21) +583*a(n-22) +8*a(n-23) +12093*a(n-24) -21445*a(n-25) +13211*a(n-26) -2506*a(n-27) +2401*a(n-28) -2357*a(n-29) +397*a(n-30) -8*a(n-31) +70*a(n-32) -32*a(n-33) -10*a(n-34) -4*a(n-35) for n>39

Example

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

Crossrefs

Sequence in context: A362088 A281454 A174711 * A041148 A307844 A114026

Adjacent sequences: A231854 A231855 A231856 * A231858 A231859 A231860

Keyword

nonn

Author

R. H. Hardin, Nov 14 2013

Status

approved