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A318073 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
32, 89, 179, 372, 854, 3029, 9966, 31057, 102906, 339938, 1115341, 3686471, 12202268, 40357737, 133516203, 442017482, 1463416356, 4844264732, 16038582879, 53104714108, 175822278334, 582142483984, 1927505047124, 6381987620459 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A318075.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +20*a(n-3) -53*a(n-4) +42*a(n-5) -141*a(n-6) +233*a(n-7) -201*a(n-8) +487*a(n-9) -268*a(n-10) +489*a(n-11) -1197*a(n-12) +587*a(n-13) -2030*a(n-14) +2132*a(n-15) -1266*a(n-16) +2926*a(n-17) -1010*a(n-18) +1350*a(n-19) -2698*a(n-20) +3123*a(n-21) -5723*a(n-22) +5669*a(n-23) -3510*a(n-24) -1261*a(n-25) +1023*a(n-26) +2441*a(n-27) -5509*a(n-28) +9188*a(n-29) -8116*a(n-30) +5375*a(n-31) -2481*a(n-32) +1789*a(n-33) -673*a(n-34) +1170*a(n-35) -4427*a(n-36) +4578*a(n-37) -4241*a(n-38) +2836*a(n-39) -553*a(n-40) -1029*a(n-41) +592*a(n-42) +939*a(n-43) -822*a(n-44) +491*a(n-45) -433*a(n-46) +91*a(n-47) +294*a(n-48) -222*a(n-49) -99*a(n-50) +125*a(n-51) -9*a(n-52) -25*a(n-53) +6*a(n-54) +3*a(n-55) -a(n-56) for n>61

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A318075.

Sequence in context: A184021 A317762 A318341 * A279713 A228801 A220581

Adjacent sequences:  A318070 A318071 A318072 * A318074 A318075 A318076

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 15 2018

STATUS

approved

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Last modified January 27 09:18 EST 2022. Contains 350607 sequences. (Running on oeis4.)