A254587 - OEIS

%I #4 Feb 01 2015 19:25:34

%S 2868,17125,96756,545360,3083065,17163021,94299759,513689395,

%T 2784287954,15033788426,81007656094,435782949444,2342282105203,

%U 12580176218027,67541357805877,362492523075197,1945139209520412,10435768594838260

%N Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Row 2 of A254586

%H R. H. Hardin, <a href="/A254587/b254587.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) -31*a(n-2) -138*a(n-3) +828*a(n-4) -1152*a(n-5) -516*a(n-6) +3120*a(n-7) -10242*a(n-8) +25971*a(n-9) -21553*a(n-10) -23255*a(n-11) +86873*a(n-12) -181029*a(n-13) +223910*a(n-14) -48622*a(n-15) -281148*a(n-16) +598492*a(n-17) -720262*a(n-18) +410453*a(n-19) +361755*a(n-20) -1153683*a(n-21) +1271501*a(n-22) -724554*a(n-23) -350616*a(n-24) +1664393*a(n-25) -1946703*a(n-26) +936016*a(n-27) +714120*a(n-28) -2211288*a(n-29) +2343444*a(n-30) -862717*a(n-31) -1272388*a(n-32) +2269089*a(n-33) -1454731*a(n-34) -85196*a(n-35) +1313620*a(n-36) -1290256*a(n-37) +181169*a(n-38) +689073*a(n-39) -724485*a(n-40) +253943*a(n-41) +182620*a(n-42) -309028*a(n-43) +159124*a(n-44) +26532*a(n-45) -58848*a(n-46) +14848*a(n-47) +2560*a(n-48) -1024*a(n-49) for n>55

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2015