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

Author

R. H. Hardin, Nov 14 2013

Keywords

• nonn

Comments

Row 3 of A231855

Examples

			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
		

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