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A305344
Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
1
8, 53, 63, 199, 649, 1729, 4685, 13671, 38115, 105379, 298557, 839061, 2341601, 6580629, 18490189, 51796497, 145319939, 407960755, 1144159141, 3209506931, 9006166021, 25265766385, 70877825571, 198858433261, 557901465421
OFFSET
1,1
COMMENTS
Column 5 of A305347.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +10*a(n-3) -6*a(n-4) -6*a(n-5) -9*a(n-6) -18*a(n-7) -9*a(n-8) -27*a(n-9) +40*a(n-10) +43*a(n-11) +45*a(n-12) +38*a(n-13) +39*a(n-14) +5*a(n-15) -64*a(n-16) -77*a(n-17) -70*a(n-18) -32*a(n-19) -78*a(n-20) +20*a(n-21) +32*a(n-22) +48*a(n-23) +75*a(n-24) +18*a(n-25) +64*a(n-26) -12*a(n-27) -28*a(n-28) -6*a(n-29) -54*a(n-30) +4*a(n-31) -14*a(n-32) -2*a(n-33) +26*a(n-34) -4*a(n-35) +12*a(n-36) -4*a(n-37) for n>48
EXAMPLE
Some solutions for n=5
..0..1..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..1..1..0
..0..0..0..0..1. .0..0..0..0..0. .0..0..0..0..0. .0..1..1..1..1
..0..0..0..0..0. .1..0..0..0..0. .0..0..0..0..1. .1..1..1..1..1
..1..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .1..1..1..1..0
..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .1..0..1..1..1
CROSSREFS
Cf. A305347.
Sequence in context: A116171 A303966 A304928 * A316612 A304666 A306169
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 30 2018
STATUS
approved