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A316300 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 1
8, 24, 39, 114, 339, 1021, 2929, 8639, 25410, 74617, 219121, 644959, 1895811, 5573758, 16390454, 48201357, 141730361, 416775033, 1225587460, 3603966367, 10597805736, 31164178417, 91641848622, 269483128315, 792446302039 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A316304.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +5*a(n-2) +7*a(n-3) +a(n-4) -28*a(n-5) -34*a(n-6) -44*a(n-7) -53*a(n-8) -31*a(n-9) +137*a(n-10) +472*a(n-11) +460*a(n-12) +290*a(n-13) +212*a(n-14) +30*a(n-15) -967*a(n-16) -1997*a(n-17) -2313*a(n-18) -2769*a(n-19) -2736*a(n-20) -684*a(n-21) +2941*a(n-22) +6131*a(n-23) +8180*a(n-24) +10850*a(n-25) +9043*a(n-26) +2365*a(n-27) -4410*a(n-28) -8926*a(n-29) -15081*a(n-30) -18487*a(n-31) -13111*a(n-32) -4057*a(n-33) +543*a(n-34) +4102*a(n-35) +12555*a(n-36) +17395*a(n-37) +10626*a(n-38) +4523*a(n-39) +2822*a(n-40) +816*a(n-41) -6213*a(n-42) -8546*a(n-43) -4379*a(n-44) -1144*a(n-45) -2219*a(n-46) -2561*a(n-47) +1522*a(n-48) +3387*a(n-49) +1181*a(n-50) -833*a(n-51) -317*a(n-52) +818*a(n-53) +429*a(n-54) -57*a(n-55) -174*a(n-56) -72*a(n-57) +19*a(n-58) +25*a(n-59) +56*a(n-60) -72*a(n-61) -100*a(n-62) -32*a(n-63) +32*a(n-64) +24*a(n-65) for n>67

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316304.

Sequence in context: A044450 A134223 A304475 * A050427 A329549 A031046

Adjacent sequences:  A316297 A316298 A316299 * A316301 A316302 A316303

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 29 2018

STATUS

approved

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Last modified June 20 06:56 EDT 2021. Contains 345157 sequences. (Running on oeis4.)