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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, 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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 29 22:13 EDT 2021. Contains 346346 sequences. (Running on oeis4.)