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A303686 Number of nX4 0..1 arrays with every element unequal to 2, 3 or 4 king-move adjacent elements, with upper left element zero. 1
0, 18, 20, 138, 343, 1744, 5563, 23963, 85439, 343499, 1279385, 5002512, 18966028, 73327791, 280007343, 1077678731, 4127070788, 15855095931, 60788926535, 233363355500, 895138948721, 3435345789704, 13179822216490, 50575246236646 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A303690.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +16*a(n-2) -80*a(n-4) -37*a(n-5) +195*a(n-6) +139*a(n-7) -235*a(n-8) -254*a(n-9) +22*a(n-10) +175*a(n-11) +412*a(n-12) +300*a(n-13) -564*a(n-14) -853*a(n-15) +201*a(n-16) +822*a(n-17) +70*a(n-18) -251*a(n-19) +26*a(n-20) -139*a(n-21) -266*a(n-22) +225*a(n-23) +290*a(n-24) -140*a(n-25) -150*a(n-26) +24*a(n-27) +78*a(n-28) -16*a(n-29) -14*a(n-30) +4*a(n-31) for n>35

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A303690.

Sequence in context: A182226 A066240 A115747 * A185099 A216295 A217058

Adjacent sequences:  A303683 A303684 A303685 * A303687 A303688 A303689

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 28 2018

STATUS

approved

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Last modified October 15 18:54 EDT 2021. Contains 348034 sequences. (Running on oeis4.)