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URL: https://oeis.org/A297862

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A297862
Number of nX4 0..1 arrays with every element equal to 2, 3 or 4 king-move adjacent elements, with upper left element zero.
1
0, 5, 13, 15, 233, 1052, 5774, 36119, 204522, 1203863, 7063610, 41315402, 242353922, 1420326554, 8325054183, 48802463232, 286063056675, 1676854045711, 9829437819950, 57618311538634, 337748584486200, 1979822597040999
OFFSET
1,2
COMMENTS
Column 4 of A297866.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +18*a(n-2) +24*a(n-3) -114*a(n-4) -401*a(n-5) -329*a(n-6) +1190*a(n-7) +3949*a(n-8) +1718*a(n-9) -9232*a(n-10) -13360*a(n-11) +6310*a(n-12) +27202*a(n-13) +4808*a(n-14) -35274*a(n-15) -7370*a(n-16) +45927*a(n-17) +2489*a(n-18) -80194*a(n-19) -16993*a(n-20) +76260*a(n-21) -63083*a(n-22) -34702*a(n-23) +174350*a(n-24) +120762*a(n-25) -122016*a(n-26) -253870*a(n-27) +76977*a(n-28) +340582*a(n-29) +226883*a(n-30) -310077*a(n-31) -452901*a(n-32) -23530*a(n-33) +245634*a(n-34) +196417*a(n-35) +3046*a(n-36) -44326*a(n-37) -34904*a(n-38) -15551*a(n-39) +5541*a(n-40) +7150*a(n-41) +812*a(n-42) +436*a(n-43) -586*a(n-44) -254*a(n-45) +28*a(n-46) +8*a(n-47) for n>50
EXAMPLE
Some solutions for n=7
..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..0..0
..0..1..1..1. .1..0..0..1. .0..0..0..1. .0..1..1..1. .0..1..1..0
..1..0..0..0. .1..1..0..0. .1..1..1..1. .0..0..0..0. .0..1..0..1
..1..0..1..0. .1..0..1..1. .1..0..0..1. .0..1..1..0. .1..0..0..1
..1..0..1..1. .0..0..1..1. .1..0..1..0. .0..1..0..0. .1..0..1..0
..1..0..1..0. .0..1..0..0. .0..1..1..0. .0..0..1..0. .0..1..1..0
..1..1..0..0. .1..1..1..0. .0..0..0..0. .0..1..1..1. .0..0..0..0
CROSSREFS
Cf. A297866.
Sequence in context: A335695 A067696 A050598 * A298129 A158334 A282747
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 07 2018
STATUS
approved