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A255796 Number of (n+2) X (3+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
210, 178, 158, 198, 256, 258, 329, 344, 392, 456, 597, 638, 805, 892, 1028, 1144, 1493, 1622, 2021, 2268, 2636, 2864, 3713, 4038, 4981, 5580, 6524, 6992, 9009, 9766, 11957, 13324, 15644, 16624, 21313, 23014, 28021, 31052, 36572, 38640, 49345, 53094, 64373 (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) = 5*a(n-6) - 8*a(n-12) + 4*a(n-18) for n>20.

Empirical g.f.: x*(210 + 178*x + 158*x^2 + 198*x^3 + 256*x^4 + 258*x^5 - 721*x^6 - 546*x^7 - 398*x^8 - 534*x^9 - 683*x^10 - 652*x^11 + 840*x^12 + 596*x^13 + 332*x^14 + 448*x^15 + 556*x^16 + 496*x^17 - 212*x^18 - 152*x^19) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^6)^2). - Colin Barker, Dec 19 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

CROSSREFS

Column 3 of A255801.

Sequence in context: A259916 A050516 A100670 * A220441 A025392 A025383

Adjacent sequences:  A255793 A255794 A255795 * A255797 A255798 A255799

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 06 2015

STATUS

approved

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Last modified July 24 06:56 EDT 2021. Contains 346273 sequences. (Running on oeis4.)