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A283038
Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element.
1
2, 68, 818, 9152, 94368, 931844, 8912378, 83420984, 767704036, 6973000128, 62669779812, 558371394860, 4938938283902, 43417600038648, 379661067157816, 3304658457345168, 28648616561102224, 247474652799713212
OFFSET
1,1
COMMENTS
Column 4 of A283042.
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) +38*a(n-2) -98*a(n-3) -1221*a(n-4) -3374*a(n-5) -1845*a(n-6) +8406*a(n-7) +14610*a(n-8) -5894*a(n-9) -20336*a(n-10) +9134*a(n-11) +9660*a(n-12) -7192*a(n-13) +3651*a(n-14) -16004*a(n-15) +9859*a(n-16) +3230*a(n-17) -14482*a(n-18) +15860*a(n-19) -16472*a(n-20) +13768*a(n-21) -9574*a(n-22) +4838*a(n-23) -2040*a(n-24) +772*a(n-25) -272*a(n-26) +84*a(n-27) -16*a(n-28) +4*a(n-29) -a(n-30)
EXAMPLE
Some solutions for n=4
..1..0..1..0. .0..0..1..1. .0..0..1..1. .1..0..1..0. .1..1..0..1
..1..1..0..0. .1..0..1..0. .0..1..0..0. .1..1..0..0. .0..1..0..0
..0..0..1..0. .0..0..0..1. .1..1..0..1. .0..0..1..0. .0..0..0..1
..1..1..0..1. .0..0..1..0. .0..1..0..1. .0..1..0..1. .0..0..0..0
CROSSREFS
Cf. A283042.
Sequence in context: A304044 A355493 A251793 * A264457 A246744 A362291
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 27 2017
STATUS
approved