A250821 - OEIS

%I #4 Nov 27 2014 20:22:19

%S 2744,22874,176184,1217728,8095062,52143132,330659096,2074791394,

%T 12942194000,80432210624,498785770398,3089054432500,19116076203672,

%U 118241047553034,731167427050088,4520568431591104,27946423065952262

%N Number of (n+2)X(2+2) 0..1 arrays with nondecreasing maximum minus minimum of every three consecutive values in every row and column

%C Column 2 of A250826

%H R. H. Hardin, <a href="/A250821/b250821.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -5*a(n-2) -91*a(n-3) +5*a(n-4) +431*a(n-5) +799*a(n-6) -1199*a(n-7) -4097*a(n-8) -1157*a(n-9) +8766*a(n-10) +11816*a(n-11) -4685*a(n-12) -20537*a(n-13) -12267*a(n-14) +11123*a(n-15) +19714*a(n-16) +5392*a(n-17) -8559*a(n-18) -8485*a(n-19) -695*a(n-20) +2925*a(n-21) +1310*a(n-22) -248*a(n-23) -338*a(n-24) +36*a(n-25) +56*a(n-26) -16*a(n-27) -3*a(n-28) +a(n-29)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2014