A318073 - OEIS

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.

32, 89, 179, 372, 854, 3029, 9966, 31057, 102906, 339938, 1115341, 3686471, 12202268, 40357737, 133516203, 442017482, 1463416356, 4844264732, 16038582879, 53104714108, 175822278334, 582142483984, 1927505047124, 6381987620459

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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