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A283688
Number of nX5 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors.
1
32, 548, 8687, 149840, 2530461, 42865601, 726353972, 12304063774, 208447516852, 3531328722756, 59824505590044, 1013492650583988, 17169667356710287, 290872863087155706, 4927703087078297854, 83480656440703152310
OFFSET
1,1
COMMENTS
Column 5 of A283691.
LINKS
FORMULA
Empirical: a(n) = 14*a(n-1) +29*a(n-2) +280*a(n-3) +866*a(n-4) +7560*a(n-5) -15216*a(n-6) -103844*a(n-7) -382425*a(n-8) +41082*a(n-9) +1766018*a(n-10) +5274831*a(n-11) +4250191*a(n-12) +1787098*a(n-13) -6022845*a(n-14) -10585488*a(n-15) -37960570*a(n-16) -50768733*a(n-17) -22088020*a(n-18) +45185414*a(n-19) +74517081*a(n-20) +51074574*a(n-21) +25245387*a(n-22) -4384455*a(n-23) -8853491*a(n-24) -2074893*a(n-25) +3542336*a(n-26) +1834829*a(n-27) -396742*a(n-28) -450606*a(n-29) -1052924*a(n-30) -261819*a(n-31) +18221*a(n-32) +82756*a(n-33) +1707*a(n-34) +6452*a(n-35) +6158*a(n-36) +1084*a(n-37) +688*a(n-38) -1304*a(n-39) +192*a(n-40)
EXAMPLE
Some solutions for n=4
..0..1..0..0..0. .0..0..0..0..0. .0..1..0..0..1. .0..1..0..0..1
..1..0..0..0..0. .0..1..0..0..1. .0..0..0..0..0. .1..0..0..0..1
..0..0..0..1..1. .0..0..0..1..0. .1..1..0..1..1. .0..1..0..0..1
..1..1..0..0..1. .0..1..1..0..0. .0..0..0..0..1. .0..1..0..0..1
CROSSREFS
Cf. A283691.
Sequence in context: A130609 A154306 A004417 * A233683 A093751 A178372
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 14 2017
STATUS
approved