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A306163
Number of n X 5 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1
16, 22, 77, 298, 1188, 4849, 19176, 75681, 302442, 1206813, 4795820, 19085600, 76040894, 302757556, 1205122061, 4798221285, 19105177194, 76064307634, 302837274327, 1205735288772, 4800572406260, 19113025859945, 76096927209491
OFFSET
1,1
COMMENTS
Column 5 of A306166.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +3*a(n-2) +15*a(n-3) -18*a(n-4) -91*a(n-5) -147*a(n-6) +121*a(n-7) +669*a(n-8) +497*a(n-9) -719*a(n-10) -1587*a(n-11) -720*a(n-12) +1486*a(n-13) +2865*a(n-14) +267*a(n-15) -2474*a(n-16) -2477*a(n-17) -1036*a(n-18) +2694*a(n-19) +2715*a(n-20) +347*a(n-21) -2258*a(n-22) -1637*a(n-23) -370*a(n-24) +1054*a(n-25) +1546*a(n-26) +270*a(n-27) -379*a(n-28) -524*a(n-29) -448*a(n-30) -10*a(n-31) +62*a(n-32) +172*a(n-33) +77*a(n-34) +17*a(n-35) +17*a(n-36) -44*a(n-37) -2*a(n-38) +2*a(n-39) -4*a(n-40) for n>47.
EXAMPLE
Some solutions for n=5
..0..1..0..0..0. .0..1..0..0..0. .0..0..1..0..0. .0..0..0..0..0
..0..0..0..0..1. .0..0..0..0..0. .1..0..0..0..0. .0..0..1..1..0
..0..0..0..0..0. .0..0..0..0..1. .0..0..0..0..0. .0..0..0..0..0
..0..0..0..1..0. .1..0..0..0..0. .0..1..0..1..0. .0..0..0..0..0
..0..0..0..0..1. .0..0..1..0..0. .1..0..0..0..1. .0..0..1..0..0
CROSSREFS
Cf. A306166.
Sequence in context: A316417 A100999 A304923 * A317380 A070572 A176657
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jun 23 2018
STATUS
approved