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A231800 Number of (n+1)X(2+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one 1
13, 61, 252, 1120, 5294, 23965, 107961, 492274, 2241508, 10179136, 46266937, 210403361, 956500632, 4348045862, 19767246606, 89865920745, 408539020529, 1857270275036, 8443425178952, 38384952010304, 174503080660617 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A231806

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +3*a(n-2) +19*a(n-3) +11*a(n-4) -49*a(n-5) -56*a(n-6) -47*a(n-7) -70*a(n-8) +91*a(n-9) -34*a(n-10) -20*a(n-11) +110*a(n-12) -76*a(n-13) +126*a(n-14) +32*a(n-15) +27*a(n-16) +48*a(n-17) +a(n-18) +4*a(n-19) +4*a(n-20)

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A302560 A252970 A047673 * A141725 A279762 A147185

Adjacent sequences:  A231797 A231798 A231799 * A231801 A231802 A231803

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 13 2013

STATUS

approved

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Last modified July 6 14:10 EDT 2022. Contains 355110 sequences. (Running on oeis4.)