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A281561
Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1
0, 602, 6955, 31300, 119319, 347316, 919632, 2383814, 5976640, 14598286, 35175288, 83613676, 196571618, 458419980, 1060698064, 2437549026, 5570652900, 12665304066, 28661072928, 64595129810, 145037546414, 324538926816
OFFSET
1,2
COMMENTS
Column 6 of A281563.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -7*a(n-2) +10*a(n-3) -38*a(n-4) +34*a(n-5) +10*a(n-6) +73*a(n-7) -17*a(n-8) -173*a(n-9) -95*a(n-10) -32*a(n-11) +258*a(n-12) +387*a(n-13) +108*a(n-14) -244*a(n-15) -604*a(n-16) -538*a(n-17) +264*a(n-18) +609*a(n-19) +474*a(n-20) +335*a(n-21) -352*a(n-22) -742*a(n-23) -197*a(n-24) +184*a(n-25) +172*a(n-26) +243*a(n-27) +90*a(n-28) -162*a(n-29) -108*a(n-30) +27*a(n-31) +27*a(n-32) for n>52
EXAMPLE
Some solutions for n=4
..0..0..0..1..0..1. .0..1..0..1..0..1. .0..1..1..0..1..1. .0..1..0..0..1..0
..0..1..0..1..0..1. .0..0..0..1..1..0. .1..0..1..0..0..1. .1..1..1..0..1..0
..1..1..0..0..0..1. .0..1..0..1..0..1. .1..0..1..0..1..0. .0..0..0..0..1..0
..0..0..1..1..1..0. .0..1..0..1..0..0. .1..0..1..0..1..1. .0..1..0..1..1..1
CROSSREFS
Cf. A281563.
Sequence in context: A268588 A251462 A356893 * A184193 A218650 A218180
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 24 2017
STATUS
approved