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A297341
Number of 4Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s.
1
16, 55, 421, 2119, 13067, 73147, 427900, 2455970, 14209144, 81938942, 473153507, 2730662734, 15762970998, 90983791633, 525180639202, 3031415452562, 17497885523808, 101000671437234, 582993285761072, 3365135765337224
OFFSET
1,1
Row 4 of A297338.
FORMULA
Empirical: a(n) = 4*a(n-1) +14*a(n-2) -11*a(n-3) -57*a(n-4) -53*a(n-5) +129*a(n-6) +56*a(n-7) -129*a(n-8) -104*a(n-9) +534*a(n-10) -425*a(n-11) -247*a(n-12) -410*a(n-13) +1665*a(n-14) -706*a(n-15) -1030*a(n-16) +1934*a(n-17) -1184*a(n-18) -536*a(n-19) +768*a(n-20) -365*a(n-21) +84*a(n-22) +110*a(n-23) -51*a(n-24) +60*a(n-25) -18*a(n-26) -29*a(n-27) -4*a(n-28) -a(n-29) +2*a(n-30) +a(n-31)
EXAMPLE
Some solutions for n=5
..1..0..0..0..1. .0..0..0..0..1. .1..0..0..0..1. .0..1..0..1..0
..0..0..1..0..0. .0..0..1..0..0. .0..0..0..0..0. .0..1..0..0..0
..1..0..1..0..0. .0..0..0..0..0. .0..1..1..0..0. .0..0..0..0..0
..1..0..0..0..0. .0..0..0..0..1. .1..1..0..0..0. .1..0..0..0..0
CROSSREFS
Cf. A297338.
Sequence in context: A256049 A152096 A188701 * A228757 A220536 A291671
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 28 2017
STATUS
approved

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Last modified September 19 23:07 EDT 2024. Contains 376015 sequences. (Running on oeis4.)