login
A283096
Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly two elements.
1
1, 28, 600, 8536, 107007, 1237504, 13563911, 142827186, 1460284133, 14581564714, 142862876715, 1377885446466, 13115027517746, 123433553708076, 1150466372539197, 10632388826800590, 97531697494232821, 888761073752337810
OFFSET
1,2
COMMENTS
Column 4 of A283100.
LINKS
FORMULA
Empirical: a(n) = 13*a(n-1) +21*a(n-2) -440*a(n-3) -1930*a(n-4) +4197*a(n-5) +50004*a(n-6) +131118*a(n-7) +20688*a(n-8) -583441*a(n-9) -957449*a(n-10) +648459*a(n-11) +2938316*a(n-12) +390016*a(n-13) -4999695*a(n-14) -933599*a(n-15) +5955545*a(n-16) -662337*a(n-17) -2865774*a(n-18) +507669*a(n-19) -2254518*a(n-20) +5461918*a(n-21) -2257963*a(n-22) -4063740*a(n-23) +7053488*a(n-24) -6898217*a(n-25) +5395026*a(n-26) -1994790*a(n-27) -2626896*a(n-28) +6364653*a(n-29) -7833012*a(n-30) +7478346*a(n-31) -6081834*a(n-32) +4301728*a(n-33) -2618683*a(n-34) +1384056*a(n-35) -647910*a(n-36) +275889*a(n-37) -107166*a(n-38) +37311*a(n-39) -11688*a(n-40) +3336*a(n-41) -884*a(n-42) +200*a(n-43) -36*a(n-44) +7*a(n-45) -a(n-46)
EXAMPLE
Some solutions for n=4
..1..1..1..1. .0..0..1..1. .1..1..1..0. .0..0..1..1. .0..0..0..0
..0..1..0..0. .0..1..1..0. .1..0..0..0. .1..0..0..0. .0..1..1..0
..0..0..0..0. .0..0..0..1. .0..0..0..1. .0..1..0..0. .1..0..0..0
..1..1..0..0. .0..0..0..1. .1..0..1..0. .0..1..1..1. .1..1..1..0
CROSSREFS
Cf. A283100.
Sequence in context: A053110 A264459 A004371 * A089908 A038121 A240684
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 28 2017
STATUS
approved