A266077 Number of nX4 integer arrays with each element equal to the number of horizontal and vertical neighbors differing from itself by exactly one.

1, 1, 6, 5, 7, 26, 23, 35, 64, 99, 161, 276, 431, 705, 1164, 1893, 3099, 5082, 8299, 13605, 22310, 36487, 59747, 97906, 160357, 262695, 430344, 704739, 1154443, 1891402, 3098313, 5075239, 8313876, 13619127, 22310879, 36549650, 59873231, 98081065

Offset

1,3

Comments

Column 4 of A266081.

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-3) -a(n-4) +4*a(n-5) -3*a(n-6) -5*a(n-7) -11*a(n-8) -4*a(n-9) +2*a(n-10) +15*a(n-12) +10*a(n-13) +20*a(n-14) -11*a(n-15) -2*a(n-16) -19*a(n-17) -10*a(n-18) -2*a(n-19) +16*a(n-20) +33*a(n-21) +6*a(n-22) +12*a(n-23) -19*a(n-24) -12*a(n-25) -51*a(n-26) -20*a(n-27) -9*a(n-28) +20*a(n-29) +23*a(n-30) +5*a(n-31) -2*a(n-32) -22*a(n-33) -4*a(n-34) -9*a(n-35) -3*a(n-36) +4*a(n-37) +42*a(n-38) +30*a(n-39) +8*a(n-40) -5*a(n-41) -4*a(n-42) +4*a(n-43) -3*a(n-44) +3*a(n-45) +2*a(n-46) -4*a(n-47) -16*a(n-50) -11*a(n-51) -2*a(n-52) -2*a(n-54) -2*a(n-55) -2*a(n-57) -2*a(n-58) +3*a(n-59) +2*a(n-60) -a(n-61) +3*a(n-62) +3*a(n-63)

Example

All solutions for n=4
..0..0..0..0....0..0..0..0....2..3..2..0....0..2..3..2....0..0..0..0
..0..0..0..0....0..2..3..2....3..4..3..0....0..3..4..3....2..3..2..0
..0..0..0..0....0..3..4..3....2..3..2..0....0..2..3..2....3..4..3..0
..0..0..0..0....0..2..3..2....0..0..0..0....0..0..0..0....2..3..2..0

Crossrefs

Cf. A266081.

Sequence in context: A179591 A063046 A104909 * A019167 A019324 A093457

Adjacent sequences: A266074 A266075 A266076 * A266078 A266079 A266080

Keyword

nonn

Author

R. H. Hardin, Dec 20 2015

Status

approved