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A253840 Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I #4 Jan 16 2015 13:17:57

%S 709704,697720,1364704,2282367,350208,427510,262418,145955,159924,

%T 165378,151496,166465,184418,173844,187098,210280,195700,212600,

%U 237946,221027,242064,271568,250134,276274,302350,286349,315658,340910,325612,359818

%N Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 7 of A253841

%H R. H. Hardin, <a href="/A253840/b253840.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A253840/a253840.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>35

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2015

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Last modified September 14 06:54 EDT 2024. Contains 375920 sequences. (Running on oeis4.)