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A303805
Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 4 king-move adjacent elements, with upper left element zero.
1
8, 35, 27, 55, 100, 174, 291, 588, 1163, 2423, 4818, 10036, 21078, 46341, 100336, 220565, 483545, 1084948, 2439934, 5530868, 12512771, 28535002, 65311019, 150358763, 346493586, 800958988, 1855292658, 4311716221, 10037969764
OFFSET
1,1
COMMENTS
Column 5 of A303808.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -7*a(n-2) -a(n-3) +21*a(n-4) -51*a(n-5) +35*a(n-6) +10*a(n-7) -16*a(n-8) +59*a(n-9) +22*a(n-10) -63*a(n-11) -75*a(n-12) +218*a(n-13) -298*a(n-14) +2*a(n-15) -294*a(n-16) -277*a(n-17) +523*a(n-18) +265*a(n-19) +445*a(n-20) +109*a(n-21) -627*a(n-22) +233*a(n-23) +267*a(n-24) -189*a(n-25) -45*a(n-26) -202*a(n-27) +339*a(n-28) +275*a(n-29) -448*a(n-30) -292*a(n-31) -146*a(n-32) +56*a(n-33) +172*a(n-34) +48*a(n-35) +46*a(n-36) +4*a(n-37) -14*a(n-39) -12*a(n-40) +3*a(n-41) +a(n-42) for n>46
EXAMPLE
Some solutions for n=5
..0..1..1..1..0. .0..1..1..1..1. .0..0..1..1..0. .0..0..1..1..1
..1..1..1..1..1. .1..1..1..1..1. .0..1..1..1..1. .0..0..0..1..1
..1..1..1..1..1. .1..1..1..1..1. .1..1..1..1..1. .0..0..0..0..1
..1..1..1..1..0. .0..1..1..1..1. .1..1..1..1..0. .1..0..0..0..0
..0..1..1..0..0. .0..0..1..1..0. .0..1..1..0..0. .1..1..0..0..0
CROSSREFS
Cf. A303808.
Sequence in context: A280395 A158991 A265161 * A360658 A304852 A305249
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 30 2018
STATUS
approved