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A316753 Number of nX4 0..1 arrays with every element unequal to 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
2, 10, 17, 20, 37, 142, 295, 467, 1217, 3160, 5781, 12289, 31456, 67234, 135899, 318669, 727470, 1526118, 3363597, 7702579, 16806258, 36429770, 81802071, 181935110, 396718472, 877432782, 1955831475, 4304980042, 9473398215 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A316757.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +8*a(n-3) -5*a(n-4) -41*a(n-5) -48*a(n-6) +15*a(n-7) +123*a(n-8) +134*a(n-9) +75*a(n-10) +77*a(n-11) -139*a(n-12) -501*a(n-13) -468*a(n-14) +145*a(n-15) +3*a(n-16) -898*a(n-17) -235*a(n-18) +1317*a(n-19) +1605*a(n-20) -1335*a(n-21) -35*a(n-22) +3973*a(n-23) +5586*a(n-24) +7069*a(n-25) +3346*a(n-26) +5059*a(n-27) -12323*a(n-28) -28742*a(n-29) -26376*a(n-30) -16955*a(n-31) -2837*a(n-32) -13917*a(n-33) +10835*a(n-34) +19715*a(n-35) +41001*a(n-36) +52599*a(n-37) +41904*a(n-38) +33892*a(n-39) +4440*a(n-40) +12102*a(n-41) -35761*a(n-42) -38195*a(n-43) -34132*a(n-44) -24371*a(n-45) -21169*a(n-46) -23099*a(n-47) +10704*a(n-48) +6097*a(n-49) +9574*a(n-50) -1412*a(n-51) +6394*a(n-52) -1054*a(n-53) +1310*a(n-54) +6140*a(n-55) +4985*a(n-56) +2648*a(n-57) +919*a(n-58) +1069*a(n-59) -1211*a(n-60) -1417*a(n-61) -995*a(n-62) -360*a(n-63) -69*a(n-64) +58*a(n-65) +83*a(n-66) +28*a(n-67) +28*a(n-68) +15*a(n-69) +3*a(n-70) -4*a(n-71) for n>72

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316757.

Sequence in context: A268481 A009387 A305093 * A304809 A304805 A214086

Adjacent sequences:  A316750 A316751 A316752 * A316754 A316755 A316756

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 12 2018

STATUS

approved

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Last modified June 17 00:17 EDT 2021. Contains 345080 sequences. (Running on oeis4.)