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A296016 Number of nX5 0..1 arrays with each 1 adjacent to 1 or 4 king-move neighboring 1s. 1
6, 69, 280, 1644, 10703, 58506, 341979, 2028843, 11696474, 68225570, 398760505, 2319839274, 13523201423, 78852368243, 459434459883, 2677820327762, 15608232354908, 90964787662250, 530173471171647, 3090042672857392 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A296019.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +8*a(n-2) +151*a(n-3) -114*a(n-4) -515*a(n-5) -8244*a(n-6) +1988*a(n-7) +12138*a(n-8) +228736*a(n-9) -4994*a(n-10) -139826*a(n-11) -3736405*a(n-12) -234969*a(n-13) +933715*a(n-14) +38898983*a(n-15) +3338523*a(n-16) -4871068*a(n-17) -269945306*a(n-18) -22694433*a(n-19) +28796552*a(n-20) +1279507004*a(n-21) +100906358*a(n-22) -161008139*a(n-23) -4188737496*a(n-24) -351536978*a(n-25) +610732726*a(n-26) +9503090118*a(n-27) +1028936246*a(n-28) -1402429362*a(n-29) -14952641505*a(n-30) -2328423899*a(n-31) +1855181758*a(n-32) +16382179532*a(n-33) +3616522481*a(n-34) -1263845957*a(n-35) -12675982607*a(n-36) -3564185179*a(n-37) +196252504*a(n-38) +7067486428*a(n-39) +2167429718*a(n-40) +383587332*a(n-41) -2788913588*a(n-42) -831651808*a(n-43) -387878170*a(n-44) +699906992*a(n-45) +191664536*a(n-46) +157176764*a(n-47) -107779300*a(n-48) -35713212*a(n-49) -28734376*a(n-50) +9295024*a(n-51) +9393808*a(n-52) +3707904*a(n-53) -13440*a(n-54) -952896*a(n-55)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A296019.

Sequence in context: A003362 A197170 A183438 * A288719 A201535 A198699

Adjacent sequences:  A296013 A296014 A296015 * A296017 A296018 A296019

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 02 2017

STATUS

approved

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Last modified July 28 17:15 EDT 2021. Contains 346335 sequences. (Running on oeis4.)