A256767 - OEIS

%I #4 Apr 09 2015 21:31:40

%S 43264,456976,2768896,16777216,80281600,384160000,1648360000,

%T 7072810000,28879603600,117920812816,471683251264,1886733005056,

%U 7495505035264,29777713954816,118194817601536,469143297200656,1864496164355344

%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum

%C Column 4 of A256771

%H R. H. Hardin, <a href="/A256767/b256767.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +56*a(n-2) -386*a(n-3) -1374*a(n-4) +11494*a(n-5) +18802*a(n-6) -210762*a(n-7) -141548*a(n-8) +2670938*a(n-9) +235458*a(n-10) -24884998*a(n-11) +7670370*a(n-12) +177000930*a(n-13) -106464642*a(n-14) -984901998*a(n-15) +822152493*a(n-16) +4357061592*a(n-17) -4503395874*a(n-18) -15481789056*a(n-19) +18820242924*a(n-20) +44428227456*a(n-21) -62009493480*a(n-22) -103078057920*a(n-23) +163857085584*a(n-24) +192597981696*a(n-25) -350346002016*a(n-26) -286734165504*a(n-27) +608226643008*a(n-28) +332631639552*a(n-29) -856680920448*a(n-30) -286505805312*a(n-31) +974170560000*a(n-32) +160252569600*a(n-33) -885968068608*a(n-34) -23146954752*a(n-35) +634697777152*a(n-36) -55991795712*a(n-37) -349866131456*a(n-38) +64331841536*a(n-39) +143058665472*a(n-40) -37874040832*a(n-41) -40832598016*a(n-42) +13627293696*a(n-43) +7256145920*a(n-44) -2852126720*a(n-45) -603979776*a(n-46) +268435456*a(n-47)

%e Some solutions for n=1

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

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

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

%Y Cf. A256771

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2015