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A317693 Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
5, 21, 33, 141, 630, 2742, 16008, 100830, 603699, 3769795, 24122000, 151848663, 958240276, 6090267864, 38598033209, 244395851672, 1550053828375, 9828877818014, 62296855285711, 394965267640728, 2504248043602690 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A317697.

LINKS

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

FORMULA

Empirical: a(n) = 12*a(n-1) -51*a(n-2) +199*a(n-3) -1045*a(n-4) +3080*a(n-5) -5824*a(n-6) +19715*a(n-7) -54217*a(n-8) +86631*a(n-9) -208898*a(n-10) +470524*a(n-11) -617540*a(n-12) +1104549*a(n-13) -1778989*a(n-14) +1697347*a(n-15) -2524942*a(n-16) +2404934*a(n-17) -1513005*a(n-18) +185991*a(n-19) +6216357*a(n-20) -6144821*a(n-21) +16299949*a(n-22) -26478742*a(n-23) +17685408*a(n-24) -35457244*a(n-25) +28422411*a(n-26) -13843492*a(n-27) +4891493*a(n-28) -9152979*a(n-29) +11561051*a(n-30) +92789965*a(n-31) +9888284*a(n-32) -76956177*a(n-33) -142623604*a(n-34) -10114987*a(n-35) +126407582*a(n-36) +102361211*a(n-37) -13113374*a(n-38) -92845724*a(n-39) -41282448*a(n-40) +19451206*a(n-41) +23428676*a(n-42) +5104632*a(n-43) -5396697*a(n-44) -2996014*a(n-45) +257192*a(n-46) +493476*a(n-47) +111556*a(n-48) -31808*a(n-49) -14768*a(n-50) +288*a(n-51) +384*a(n-52) for n>55

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317697.

Sequence in context: A006309 A273577 A317039 * A145026 A039561 A063575

Adjacent sequences:  A317690 A317691 A317692 * A317694 A317695 A317696

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 04 2018

STATUS

approved

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Last modified September 26 06:16 EDT 2021. Contains 347664 sequences. (Running on oeis4.)