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A255799 Number of (n+2) X (6+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3. 1
1318, 472, 258, 263, 290, 214, 270, 358, 322, 419, 486, 334, 434, 622, 550, 731, 878, 574, 762, 1150, 1006, 1355, 1662, 1054, 1418, 2206, 1918, 2603, 3230, 2014, 2730, 4318, 3742, 5099, 6366, 3934, 5354, 8542, 7390, 10091, 12638, 7774, 10602, 16990 (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) = 3*a(n-6) - 2*a(n-12) for n>15.

Empirical g.f.: x*(1318 + 472*x + 258*x^2 + 263*x^3 + 290*x^4 + 214*x^5 - 3684*x^6 - 1058*x^7 - 452*x^8 - 370*x^9 - 384*x^10 - 308*x^11 + 2260*x^12 + 492*x^13 + 100*x^14) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^6)). - Colin Barker, Dec 20 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

CROSSREFS

Column 6 of A255801.

Sequence in context: A260765 A241962 A200202 * A023318 A066663 A067206

Adjacent sequences:  A255796 A255797 A255798 * A255800 A255801 A255802

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 06 2015

STATUS

approved

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Last modified June 28 02:57 EDT 2022. Contains 354903 sequences. (Running on oeis4.)