A253795 - OEIS

%I #4 Jan 13 2015 21:23:10

%S 2908,22284,162604,1143216,7346584,45394736,275822532,1652471284,

%T 9831849372,58304555060,345075369836,2040178453940,12055498430504,

%U 71214711130240,420611891390560,2484014741580956,14669164876517016

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically

%C Column 2 of A253801

%H R. H. Hardin, <a href="/A253795/b253795.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -59*a(n-2) +118*a(n-3) -109*a(n-4) +62*a(n-5) -21*a(n-6) -726*a(n-7) +4071*a(n-8) -10315*a(n-9) +19176*a(n-10) -46058*a(n-11) +124575*a(n-12) -217495*a(n-13) +177069*a(n-14) -3623*a(n-15) -248513*a(n-16) +1095194*a(n-17) -3760891*a(n-18) +7538001*a(n-19) -7897670*a(n-20) +628509*a(n-21) +20668328*a(n-22) -46875198*a(n-23) +45358717*a(n-24) -15981695*a(n-25) -48029323*a(n-26) +132840819*a(n-27) -127707135*a(n-28) +60461374*a(n-29) +36947582*a(n-30) -215291040*a(n-31) +249088792*a(n-32) -140610096*a(n-33) +55297680*a(n-34) +139898632*a(n-35) -230764648*a(n-36) +117081280*a(n-37) -75157472*a(n-38) +37986752*a(n-39) +4809600*a(n-40) +6231936*a(n-41) +6482944*a(n-42) -2228736*a(n-43) -4024320*a(n-44) -14330880*a(n-45) +13410304*a(n-46) -4554752*a(n-47) +1597440*a(n-48) +466944*a(n-49) -704512*a(n-50) +458752*a(n-51) -294912*a(n-52) +65536*a(n-53) for n>65

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 13 2015