A258540 - OEIS

%I #4 Jun 02 2015 10:06:08

%S 2520,8836,20736,57600,142544,381924,956736,2496400,6344576,16467364,

%T 42350672,110082064,285367424,743652900,1936887872,5057485456,

%U 13206499776,34526842596,90279314432,236188224064,617983034784

%N Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum

%C Column 3 of A258545

%H R. H. Hardin, <a href="/A258540/b258540.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +9*a(n-2) -51*a(n-3) -20*a(n-4) +275*a(n-5) -65*a(n-6) -820*a(n-7) +465*a(n-8) +1485*a(n-9) -1180*a(n-10) -1685*a(n-11) +1685*a(n-12) +1180*a(n-13) -1485*a(n-14) -465*a(n-15) +820*a(n-16) +65*a(n-17) -275*a(n-18) +20*a(n-19) +51*a(n-20) -9*a(n-21) -4*a(n-22) +a(n-23) for n>26

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A258545

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 02 2015