A239539 Number of (5+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.

47, 406, 13254, 293741, 7199001, 171712936, 4125560328, 98927618805, 2373444167504, 56935033821392, 1365829523251090, 32764912977503476, 786000316204257639, 18855415452720965204, 452323942169129930212

Offset: 1

Author

R. H. Hardin, Mar 21 2014

Keywords

• nonn

Comments

Row 5 of A239537

Examples

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

Links

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

Formula

Empirical: a(n) = 18*a(n-1) +182*a(n-2) -633*a(n-3) -6803*a(n-4) -6775*a(n-5) +106867*a(n-6) +431889*a(n-7) -869473*a(n-8) -3949105*a(n-9) -6257065*a(n-10) [phone]*a(n-11) [phone]*a(n-12) -44033625*a(n-13) -350944821*a(n-14) [phone]*a(n-15) [phone]*a(n-16) [phone]*a(n-17) -1175749708*a(n-18) -1409760256*a(n-19) [phone]*a(n-20) [phone]*a(n-21) -1287432256*a(n-22) -1543057504*a(n-23) [phone]*a(n-24) [phone]*a(n-25) -998510432*a(n-26) -1343922048*a(n-27) [phone]*a(n-28) [phone]*a(n-29) -613962880*a(n-30) [phone]*a(n-31) [phone]*a(n-32) -30259200*a(n-33) -30826496*a(n-34) +6275072*a(n-35) -1966080*a(n-36) -1966080*a(n-37)