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A317121 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1
8, 65, 302, 1597, 8598, 46955, 258241, 1422755, 7843425, 43248130, 238491830, 1315207719, 7253029882, 39998826834, 220584887411, 1216478628291, 6708622719753, 36996640542547, 204028682917674, 1125175254860635 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A317125.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +a(n-2) +2*a(n-3) -120*a(n-4) -77*a(n-5) +152*a(n-6) +845*a(n-7) +1338*a(n-8) -940*a(n-9) -3462*a(n-10) -6115*a(n-11) +2228*a(n-12) +7367*a(n-13) +7789*a(n-14) -15611*a(n-15) -47569*a(n-16) -12276*a(n-17) +66994*a(n-18) +205581*a(n-19) +256386*a(n-20) +170683*a(n-21) -118420*a(n-22) -434392*a(n-23) -849661*a(n-24) -1153016*a(n-25) -1031924*a(n-26) -405784*a(n-27) +556041*a(n-28) +1433151*a(n-29) +2167330*a(n-30) +2311351*a(n-31) +1780070*a(n-32) +1357492*a(n-33) -46688*a(n-34) -880318*a(n-35) -1199783*a(n-36) -1327002*a(n-37) -1109295*a(n-38) -493500*a(n-39) -152390*a(n-40) +149838*a(n-41) +363761*a(n-42) +193613*a(n-43) +130356*a(n-44) +33207*a(n-45) -54237*a(n-46) -68686*a(n-47) -54274*a(n-48) -19271*a(n-49) -4727*a(n-50) +4292*a(n-51) +4741*a(n-52) +2108*a(n-53) +2116*a(n-54) +712*a(n-55) +320*a(n-56) +96*a(n-57) for n>59

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317125.

Sequence in context: A304306 A316205 A305772 * A009373 A305589 A317007

Adjacent sequences:  A317118 A317119 A317120 * A317122 A317123 A317124

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 21 2018

STATUS

approved

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Last modified October 20 02:21 EDT 2021. Contains 348099 sequences. (Running on oeis4.)