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A297984 Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero. 1
1, 53, 14, 43, 61, 131, 242, 530, 1226, 2701, 5847, 13187, 30316, 68963, 156767, 358341, 819778, 1874460, 4286961, 9812357, 22469334, 51467291, 117908386, 270171681, 619170983, 1419191326, 3253216738, 7458029458, 17098984111 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 6 of A297986.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -2*a(n-2) -9*a(n-3) +22*a(n-4) -34*a(n-5) -3*a(n-6) +77*a(n-7) -115*a(n-8) +109*a(n-9) +59*a(n-10) -221*a(n-11) +337*a(n-12) -190*a(n-13) -235*a(n-14) +367*a(n-15) -673*a(n-16) -171*a(n-17) +413*a(n-18) -454*a(n-19) +515*a(n-20) +1216*a(n-21) +351*a(n-22) +829*a(n-23) +1123*a(n-24) -1315*a(n-25) -1359*a(n-26) -717*a(n-27) -4311*a(n-28) -562*a(n-29) +586*a(n-30) -2822*a(n-31) +4889*a(n-32) +1368*a(n-33) -1161*a(n-34) +5746*a(n-35) -718*a(n-36) +885*a(n-37) +3714*a(n-38) -1567*a(n-39) +3774*a(n-40) +569*a(n-41) -4894*a(n-42) -443*a(n-43) -5804*a(n-44) -7761*a(n-45) -3293*a(n-46) -3623*a(n-47) +690*a(n-48) +4128*a(n-49) +3933*a(n-50) +7042*a(n-51) +5506*a(n-52) +1772*a(n-53) +1624*a(n-54) -1148*a(n-55) -3004*a(n-56) -2143*a(n-57) -2791*a(n-58) -1427*a(n-59) -364*a(n-60) -426*a(n-61) +719*a(n-62) +547*a(n-63) +365*a(n-64) +476*a(n-65) +115*a(n-66) +51*a(n-67) -3*a(n-68) -78*a(n-69) -30*a(n-70) -26*a(n-71) -26*a(n-72) -a(n-73) +2*a(n-75) +2*a(n-76) for n>84

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297986.

Sequence in context: A143385 A231426 A298061 * A298633 A298710 A048602

Adjacent sequences:  A297981 A297982 A297983 * A297985 A297986 A297987

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 10 2018

STATUS

approved

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Last modified September 25 15:27 EDT 2021. Contains 347658 sequences. (Running on oeis4.)