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A306139 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 1
2, 86, 521, 4691, 40610, 339596, 2880944, 24495738, 207439044, 1759248608, 14920713212, 126511580214, 1072799000264, 9097203457581, 77141534654160, 654142510659999, 5546978690001491, 47037035425953583, 398862931229311745 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A306143.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 6*a(n-1) +21*a(n-2) +42*a(n-3) -272*a(n-4) -802*a(n-5) +716*a(n-6) +1254*a(n-7) +1628*a(n-8) +3820*a(n-9) +3392*a(n-10) +5616*a(n-11) -4521*a(n-12) +90544*a(n-13) -83798*a(n-14) -196645*a(n-15) -160167*a(n-16) -340115*a(n-17) +115074*a(n-18) -1571816*a(n-19) +872475*a(n-20) -3665797*a(n-21) +2568784*a(n-22) -4184320*a(n-23) +12824406*a(n-24) +1808033*a(n-25) -14094634*a(n-26) +42149950*a(n-27) -64132166*a(n-28) +94325130*a(n-29) -109401855*a(n-30) +92752488*a(n-31) -37077671*a(n-32) -9295092*a(n-33) -10514542*a(n-34) +36493034*a(n-35) -42516725*a(n-36) +15045839*a(n-37) +1172964*a(n-38) +4753167*a(n-39) -2643483*a(n-40) +1857972*a(n-41) -1874493*a(n-42) +501484*a(n-43) +193967*a(n-44) -364500*a(n-45) +108083*a(n-46) +3620*a(n-47) -10034*a(n-48) +3704*a(n-49) +508*a(n-50) for n>51

EXAMPLE

Some solutions for n=5

..0..1..0..1. .0..1..1..0. .0..0..1..1. .0..0..1..0. .0..1..0..1

..1..0..0..1. .1..1..1..0. .0..1..0..1. .1..1..1..1. .0..1..0..1

..0..0..0..1. .0..1..1..0. .0..1..0..1. .1..0..1..0. .1..1..1..1

..0..0..0..1. .0..1..1..0. .1..1..1..1. .0..1..0..1. .1..0..1..0

..1..1..0..1. .1..0..0..1. .1..0..0..1. .1..0..1..0. .1..0..1..0

CROSSREFS

Cf. A306143.

Sequence in context: A316579 A304593 A316379 * A317372 A177318 A280551

Adjacent sequences:  A306136 A306137 A306138 * A306140 A306141 A306142

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 22 2018

STATUS

approved

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Last modified August 19 20:20 EDT 2019. Contains 326133 sequences. (Running on oeis4.)