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A297081
Number of nX4 0..1 arrays with no 1 adjacent to 2 king-move neighboring 1s.
1
13, 96, 687, 6784, 64819, 654120, 6743851, 69857453, 727765313, 7595405386, 79340215324, 829193907314, 8667696323290, 90614114108465, 947347312500081, 9904488634581731, 103552265958788140, 1082653130360458055
OFFSET
1,1
COMMENTS
Column 4 of A297085.
LINKS
FORMULA
Empirical: a(n) = 9*a(n-1) +23*a(n-2) +28*a(n-3) -945*a(n-4) -2029*a(n-5) -3142*a(n-6) +21335*a(n-7) +54146*a(n-8) +108209*a(n-9) -59763*a(n-10) -294467*a(n-11) -532677*a(n-12) -529823*a(n-13) +342371*a(n-14) +564802*a(n-15) +462057*a(n-16) -397473*a(n-17) +1756534*a(n-18) +2833349*a(n-19) +926785*a(n-20) +1852731*a(n-21) -2464854*a(n-22) -2170724*a(n-23) +1406946*a(n-24) +1119580*a(n-25) +1245446*a(n-26) +1089190*a(n-27) +612177*a(n-28) +266312*a(n-29) +72636*a(n-30) +29514*a(n-31) +6508*a(n-32) -1104*a(n-33) -288*a(n-34)
EXAMPLE
Some solutions for n=5
..0..0..0..0. .0..1..1..0. .1..0..1..1. .0..1..0..0. .1..1..0..1
..1..0..0..1. .0..0..0..0. .1..0..1..1. .1..0..0..0. .1..1..0..1
..1..0..0..1. .1..1..0..0. .0..0..0..0. .0..0..0..1. .1..1..0..0
..1..1..1..1. .1..1..1..1. .1..1..0..1. .1..0..0..0. .1..1..0..0
..0..1..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..1. .0..0..1..0
CROSSREFS
Cf. A297085.
Sequence in context: A222503 A320282 A366484 * A297603 A094499 A242385
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 25 2017
STATUS
approved