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A317000 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 1
8, 112, 894, 7665, 65047, 551591, 4691054, 39872525, 338839996, 2880214407, 24480775050, 208076532466, 1768595321211, 15032497751286, 127771476379352, 1086018367787700, 9230818232111217, 78459088020437037, 666877926678011124 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A317004.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -2*a(n-2) +25*a(n-3) -425*a(n-4) +367*a(n-5) +403*a(n-6) +473*a(n-7) +1648*a(n-8) -3461*a(n-9) +6164*a(n-10) -9256*a(n-11) +2080*a(n-12) -13635*a(n-13) +8004*a(n-14) +35269*a(n-15) -49801*a(n-16) +87317*a(n-17) -234670*a(n-18) +108336*a(n-19) +14477*a(n-20) -250949*a(n-21) +582289*a(n-22) -389235*a(n-23) -64042*a(n-24) -159517*a(n-25) -284843*a(n-26) +237493*a(n-27) -125168*a(n-28) +157711*a(n-29) -29761*a(n-30) +34000*a(n-31) +3534*a(n-32) +19585*a(n-33) +5417*a(n-34) +2860*a(n-35) +689*a(n-36) -6*a(n-37) +54*a(n-38) for n>39

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317004.

Sequence in context: A305765 A317114 A305526 * A316818 A317568 A075851

Adjacent sequences:  A316997 A316998 A316999 * A317001 A317002 A317003

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 18 2018

STATUS

approved

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Last modified November 26 20:36 EST 2021. Contains 349343 sequences. (Running on oeis4.)