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A297016
Number of nX4 0..1 arrays with each 1 adjacent to 3, 4 or 6 king-move neighboring 1s.
1
1, 4, 14, 46, 150, 590, 2355, 9521, 39410, 163110, 680680, 2847658, 11910305, 49901827, 209178469, 876800876, 3676299398, 15416057028, 64644686369, 271089072107, 1136852511852, 4767556349396, 19993574426109, 83847092409163
OFFSET
1,2
COMMENTS
Column 4 of A297020.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +10*a(n-2) +49*a(n-3) -15*a(n-4) -377*a(n-5) -1117*a(n-6) -280*a(n-7) +5137*a(n-8) +13713*a(n-9) +9081*a(n-10) -31750*a(n-11) -91716*a(n-12) -85287*a(n-13) +87442*a(n-14) +337367*a(n-15) +357591*a(n-16) -75649*a(n-17) -671868*a(n-18) -665349*a(n-19) -7048*a(n-20) +516175*a(n-21) +17434*a(n-22) -591120*a(n-23) +593940*a(n-24) +2931484*a(n-25) +3120651*a(n-26) -1447621*a(n-27) -6700012*a(n-28) -7083886*a(n-29) +314634*a(n-30) +8069951*a(n-31) +7740352*a(n-32) +735592*a(n-33) -5968426*a(n-34) -4257926*a(n-35) +952578*a(n-36) +2302610*a(n-37) +241946*a(n-38) -949343*a(n-39) -680127*a(n-40) -202788*a(n-41) +70439*a(n-42) +146352*a(n-43) +29799*a(n-44) -23202*a(n-45) -16500*a(n-46) -4552*a(n-47) +3520*a(n-48)
EXAMPLE
Some solutions for n=7
..1..1..0..0. .0..1..1..0. .0..1..1..1. .0..1..1..0. .0..0..1..1
..1..1..0..0. .0..1..1..0. .1..0..1..1. .1..1..1..0. .0..0..1..1
..0..0..1..0. .0..0..1..0. .1..1..1..0. .1..0..1..0. .0..0..1..0
..0..1..1..0. .0..0..1..1. .1..1..0..0. .0..1..0..0. .0..1..0..0
..1..0..1..0. .0..0..0..1. .0..1..1..1. .0..0..1..0. .1..1..1..0
..1..1..1..0. .0..0..1..1. .1..1..1..1. .0..1..1..1. .0..1..0..0
..1..1..0..0. .0..0..1..1. .1..1..0..0. .0..0..1..0. .0..0..0..0
CROSSREFS
Cf. A297020.
Sequence in context: A330796 A049221 A081670 * A258255 A124805 A362279
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 23 2017
STATUS
approved