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URL: https://oeis.org/A255153

⇱ A255153 - OEIS

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A255153
Number of (n+2) X (2+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 or 1 and no column sum 0 or 1.
1
62, 158, 459, 1285, 3553, 9978, 27903, 77798, 217554, 608257, 1699201, 4748763, 13272520, 37089779, 103651288, 289674102, 809528613, 2262327549, 6322405953, 17668817420, 49377854351, 137993195876, 385640766218, 1077725241459
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) + 2*a(n-2) + 7*a(n-3) + 4*a(n-4) + a(n-6) - 6*a(n-8) - 6*a(n-9) - 3*a(n-10) - a(n-11).
Empirical g.f.: x*(62 + 96*x + 177*x^2 + 76*x^3 - 4*x^4 + 10*x^5 - 74*x^6 - 230*x^7 - 195*x^8 - 91*x^9 - 27*x^10) / (1 - x - 2*x^2 - 7*x^3 - 4*x^4 - x^6 + 6*x^8 + 6*x^9 + 3*x^10 + x^11). - Colin Barker, Dec 18 2018
EXAMPLE
Some solutions for n=4:
..0..1..1..1....1..1..0..1....1..0..1..1....1..0..1..1....1..1..1..1
..1..1..0..1....1..0..1..1....0..1..1..0....1..1..1..1....1..1..1..0
..1..1..1..1....0..1..1..1....1..1..0..1....1..1..0..1....1..1..0..1
..1..0..1..1....1..1..1..1....1..0..1..1....1..1..1..1....1..0..1..1
..1..1..1..0....1..1..1..1....0..1..1..1....1..1..1..1....0..1..1..1
..0..1..1..1....1..1..1..1....1..1..0..1....1..0..1..1....1..1..1..1
CROSSREFS
Column 2 of A255159.
Sequence in context: A238138 A332312 A104054 * A044394 A044775 A043359
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 15 2015
STATUS
approved