A277763 Number of nX4 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2.

0, 18, 204, 9741, 270291, 8971150, 280603511, 8946059000, 283436060320, 8998418743638, 285487168951921, 9059457397078866, 287466089870053015, 9121814912567142070, 289449332145382072648, 9184699258737221554558

Offset: 1

Author

R. H. Hardin, Oct 29 2016

Keywords

• nonn

Comments

Column 4 of A277767.

Examples

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

Links

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

Crossrefs

Cf. A277767.

Formula

Empirical: a(n) = 36*a(n-1) -68*a(n-2) -2713*a(n-3) +19931*a(n-4) -62381*a(n-5) +266374*a(n-6) -1845409*a(n-7) +9104329*a(n-8) -30969250*a(n-9) [phone]*a(n-10) [phone]*a(n-11) -345542021*a(n-12) [phone]*a(n-13) [phone]*a(n-14) [phone]*a(n-15) -2417781956*a(n-16) -1829259971*a(n-17) [phone]*a(n-18) -3571370030*a(n-19) [phone]*a(n-20) [phone]*a(n-21) [phone]*a(n-22) -275686906*a(n-23) -16985592806*a(n-24) [phone]*a(n-25) -9614561545*a(n-26) [phone]*a(n-27) [phone]*a(n-28) -2314404621*a(n-29) -6065137060*a(n-30) [phone]*a(n-31) [phone]*a(n-32) -122381968*a(n-33) -1122738002*a(n-34) [phone]*a(n-35) [phone]*a(n-36) [phone]*a(n-37) -28064564*a(n-38) -7818348*a(n-39) -4302760*a(n-40) +3035424*a(n-41) -160928*a(n-42) -59072*a(n-43) -1152*a(n-44) for n>45