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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

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

Adjacent sequences:  A255150 A255151 A255152 * A255154 A255155 A255156

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 15 2015

STATUS

approved

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Last modified February 26 18:29 EST 2020. Contains 332293 sequences. (Running on oeis4.)