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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 1

%I #9 Jan 16 2015 13:13:42

%S 8392,17491,52014,127483,135280,201331,233370,230890,276234,303500,

%T 315082,363247,374050,400164,441848,473675,511892,560844,599058,

%U 645661,682754,733900,767934,814977,878516,924256,991794,1064491,1093772

%N 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

%C Column 3 of A253841

%H R. H. Hardin, <a href="/A253836/b253836.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A253836/a253836_1.txt">polynomial of degree 4 plus a quasipolynomial of degree 2 with period 24</a>

%F 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

%e Some solutions for n=4

%e ..0..0..1..1..1....0..1..0..0..1....0..0..0..0..1....0..1..0..0..1

%e ..1..0..1..0..1....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0

%e ..1..0..1..0..0....0..0..0..0..1....1..1..1..1..0....0..0..0..0..0

%e ..0..0..1..1..1....1..1..1..1..1....1..0..0..1..1....0..0..1..1..1

%e ..1..1..1..1..1....1..1..1..1..0....0..1..1..1..0....1..1..1..1..1

%e ..1..1..0..1..1....1..0..0..1..1....0..0..1..1..1....0..1..1..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2015

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Last modified August 11 04:26 EDT 2024. Contains 375059 sequences. (Running on oeis4.)