A231840 Number of 2Xn 0..3 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

16, 50, 188, 760, 3309, 14666, 64607, 283479, 1243280, 5452114, 23905237, 104828007, 459770373, 2016638186, 8845269109, 38796696140, 170170211095, 746407664707, 3273942709889, 14360456936977, 62989372397071

Offset

1,1

Comments

Row 2 of A231839

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -120*a(n-2) +594*a(n-3) -2230*a(n-4) +6728*a(n-5) -16873*a(n-6) +35897*a(n-7) -65873*a(n-8) +105776*a(n-9) -149668*a(n-10) +188619*a(n-11) -211559*a(n-12) +213408*a(n-13) -191583*a(n-14) +154654*a(n-15) -110323*a(n-16) +68713*a(n-17) -37978*a(n-18) +15027*a(n-19) -6519*a(n-20) -1220*a(n-21) -499*a(n-22) -1885*a(n-23) -410*a(n-24) -615*a(n-25) -257*a(n-26) -118*a(n-27) -60*a(n-28) -15*a(n-29) -5*a(n-30) -a(n-31) for n>32

Example

Some solutions for n=5
..1..1..1..0..0....3..3..3..3..2....2..1..1..2..1....3..0..0..0..0
..2..1..0..0..1....2..2..2..2..3....1..1..1..1..2....0..1..1..1..2

Crossrefs

Sequence in context: A186850 A235566 A186842 * A199809 A121863 A121864

Adjacent sequences: A231837 A231838 A231839 * A231841 A231842 A231843

Keyword

nonn

Author

R. H. Hardin, Nov 14 2013

Status

approved