A251198 - OEIS

%I #4 Nov 30 2014 18:30:47

%S 421,4172,49104,599869,7392190,91120318,1123772109,13857491196,

%T 170891121600,2107379861537,25987915305133,320477652481276,

%U 3952074277982088,48736235840108773,601006370941302525

%N Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements

%C Column 5 of A251201

%H R. H. Hardin, <a href="/A251198/b251198.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +118*a(n-2) +279*a(n-3) -1792*a(n-4) -3874*a(n-5) +13807*a(n-6) +15815*a(n-7) -60874*a(n-8) -9844*a(n-9) +120750*a(n-10) -46021*a(n-11) -141005*a(n-12) +176283*a(n-13) -34545*a(n-14) -57511*a(n-15) +27381*a(n-16) +6840*a(n-17) -5394*a(n-18) +98*a(n-19) +271*a(n-20) -11*a(n-21) -4*a(n-22) for n>25

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014