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A305018 Number of nX4 0..1 arrays with every element unequal to 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 2
0, 18, 73, 769, 6742, 62314, 570806, 5242925, 48153854, 442311927, 4062866260, 37320305422, 342812233046, 3148973511933, 28925553848152, 265701741889332, 2440659502451731, 22419193143374704, 205936236498750301 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A305022.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +43*a(n-2) -25*a(n-3) -866*a(n-4) -1292*a(n-5) +4913*a(n-6) +15127*a(n-7) +1776*a(n-8) -44842*a(n-9) -61696*a(n-10) +682*a(n-11) +106420*a(n-12) +166737*a(n-13) +28886*a(n-14) -320077*a(n-15) -426550*a(n-16) +113876*a(n-17) +780489*a(n-18) +700471*a(n-19) -246971*a(n-20) -1167585*a(n-21) -904392*a(n-22) +425268*a(n-23) +1326480*a(n-24) +800991*a(n-25) -487720*a(n-26) -1090901*a(n-27) -568273*a(n-28) +242052*a(n-29) +520866*a(n-30) +217197*a(n-31) -96704*a(n-32) -120858*a(n-33) -17124*a(n-34) +32415*a(n-35) +11892*a(n-36) -2872*a(n-37) -2134*a(n-38) -726*a(n-39) +146*a(n-40) +116*a(n-41) -6*a(n-42) for n>44

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A305022.

Sequence in context: A041626 A039608 A211619 * A041628 A022145 A284659

Adjacent sequences:  A305015 A305016 A305017 * A305019 A305020 A305021

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 23 2018

STATUS

approved

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Last modified December 7 17:41 EST 2019. Contains 329847 sequences. (Running on oeis4.)