A205749 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

677, 4256, 45985, 383290, 3869807, 34977686, 341919297, 3167656992, 30455717868, 285553796676, 2723341716429, 25674383048106, 243954861350237, 2305675383712232, 21870813304967748, 206946895127931564

Offset: 1

Author

R. H. Hardin Jan 30 2012

Keywords

• nonn

Comments

Column 4 of A205753

Examples

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

Links

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

Formula

Empirical: a(n) = 94*a(n-2) +224*a(n-3) -1907*a(n-4) -8150*a(n-5) +10705*a(n-6) +124700*a(n-7) +82378*a(n-8) -1059534*a(n-9) -1527048*a(n-10) +5445072*a(n-11) +9604580*a(n-12) -16870180*a(n-13) -32117532*a(n-14) [phone]*a(n-15) [phone]*a(n-16) [phone]*a(n-17) -150298259*a(n-18) -238127706*a(n-19) [phone]*a(n-20) [phone]*a(n-21) -2951195030*a(n-22) [phone]*a(n-23) [phone]*a(n-24) -5117346094*a(n-25) -10722653002*a(n-26) [phone]*a(n-27) [phone]*a(n-28) -41383934136*a(n-29) -31092444251*a(n-30) [phone]*a(n-31) [phone]*a(n-32) -38281275980*a(n-33) -50842720265*a(n-34) [phone]*a(n-35) [phone]*a(n-36) [phone]*a(n-37) [phone]*a(n-38) -10071578040*a(n-39) -13997336448*a(n-40) [phone]*a(n-41) [phone]*a(n-42) [phone]*a(n-43) -717565952*a(n-44) -252968960*a(n-45) for n>46