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A317039 Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1
5, 21, 33, 141, 610, 2516, 14294, 88030, 509381, 3093005, 19312237, 118337189, 727121421, 4504400841, 27814686154, 171570763044, 1060312932793, 6551216623239, 40456288742814, 249917071426582, 1543961418215996 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A317043.

LINKS

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

FORMULA

Empirical: a(n) = 12*a(n-1) -53*a(n-2) +212*a(n-3) -1067*a(n-4) +3283*a(n-5) -7149*a(n-6) +22550*a(n-7) -60499*a(n-8) +111428*a(n-9) -255645*a(n-10) +566156*a(n-11) -963436*a(n-12) +1783859*a(n-13) -2972693*a(n-14) +4666054*a(n-15) -7467897*a(n-16) +8654259*a(n-17) -12205787*a(n-18) +15382900*a(n-19) -8013589*a(n-20) +9971092*a(n-21) +4366120*a(n-22) -38850043*a(n-23) +48297824*a(n-24) -95813499*a(n-25) +154140740*a(n-26) -222888798*a(n-27) +265742479*a(n-28) -255691820*a(n-29) +399479858*a(n-30) -401654404*a(n-31) +385831534*a(n-32) -397757831*a(n-33) +67971892*a(n-34) -270794607*a(n-35) +350468437*a(n-36) +255979054*a(n-37) -209173625*a(n-38) +190177950*a(n-39) -222665052*a(n-40) -131151071*a(n-41) -55961197*a(n-42) -133828132*a(n-43) +99648586*a(n-44) +97475736*a(n-45) +30041612*a(n-46) +11310024*a(n-47) +1563480*a(n-48) -480320*a(n-49) -244512*a(n-50) +74432*a(n-51) +12032*a(n-52) for n>55

EXAMPLE

Some solutions for n=5

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

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

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

..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0

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

CROSSREFS

Cf. A317043.

Sequence in context: A074074 A006309 A273577 * A317693 A145026 A039561

Adjacent sequences:  A317036 A317037 A317038 * A317040 A317041 A317042

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 19 2018

STATUS

approved

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Last modified September 23 12:11 EDT 2021. Contains 347617 sequences. (Running on oeis4.)