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A304306 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero. 1
8, 65, 261, 1137, 4979, 22089, 98560, 441950, 1985853, 8936025, 40245259, 181349063, 817441187, 3685379513, 16617254516, 74932039580, 337905147089, 1523819827721, 6871941730432, 30990572266213, 139759818308246 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A304310.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -3*a(n-2) -12*a(n-3) -26*a(n-4) -3*a(n-5) +96*a(n-6) +29*a(n-7) +6*a(n-8) -19*a(n-9) +602*a(n-10) +260*a(n-11) -451*a(n-12) -1329*a(n-13) -2222*a(n-14) -1650*a(n-15) -4229*a(n-16) -4615*a(n-17) -5760*a(n-18) +12494*a(n-19) +28230*a(n-20) +42152*a(n-21) +30055*a(n-22) +16800*a(n-23) +11593*a(n-24) -15642*a(n-25) -80377*a(n-26) -215758*a(n-27) -220109*a(n-28) -142883*a(n-29) +45145*a(n-30) +97389*a(n-31) +272930*a(n-32) +318229*a(n-33) +310211*a(n-34) +161580*a(n-35) +30460*a(n-36) -101720*a(n-37) -220149*a(n-38) -232908*a(n-39) -139405*a(n-40) -23381*a(n-41) -9204*a(n-42) -1691*a(n-43) +13351*a(n-44) +14965*a(n-45) -2243*a(n-46) -10149*a(n-47) -6405*a(n-48) -8698*a(n-49) -12003*a(n-50) -5698*a(n-51) -606*a(n-52) -1472*a(n-53) -1446*a(n-54) -788*a(n-55) -96*a(n-56) +72*a(n-57) for n>59

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A304310.

Sequence in context: A202783 A307436 A067685 * A316205 A305772 A317121

Adjacent sequences:  A304303 A304304 A304305 * A304307 A304308 A304309

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 10 2018

STATUS

approved

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Last modified October 16 13:32 EDT 2019. Contains 328093 sequences. (Running on oeis4.)