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A253836

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

8392, 17491, 52014, 127483, 135280, 201331, 233370, 230890, 276234, 303500, 315082, 363247, 374050, 400164, 441848, 473675, 511892, 560844, 599058, 645661, 682754, 733900, 767934, 814977, 878516, 924256, 991794, 1064491, 1093772

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

OFFSET

1,1

COMMENTS

Column 3 of A253841

LINKS

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

R. H. Hardin, polynomial of degree 4 plus a quasipolynomial of degree 2 with period 24

FORMULA

Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-6) -4*a(n-7) +3*a(n-8) -2*a(n-9) +a(n-10) -a(n-12) +2*a(n-13) -3*a(n-14) +4*a(n-15) -2*a(n-16) +a(n-20) -2*a(n-21) +a(n-22) for n>36

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A337959 A139005 A252087 * A253843 A253930 A295469

Adjacent sequences: A253833 A253834 A253835 * A253837 A253838 A253839

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 16 2015

STATUS

approved

URL: https://oeis.org/A253836

⇱ A253836 - OEIS