A254554 - OEIS

%I #4 Feb 01 2015 12:27:00

%S 2696,9292,34780,111443,375458,1206693,3894656,12325300,38716071,

%T 119879610,368721544,1126066489,3426457567,10392728851,31463157132,

%U 95108635680,287218972018,866713232348,2614078864722,7881309979752

%N Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Row 2 of A254553

%H R. H. Hardin, <a href="/A254554/b254554.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -21*a(n-2) +11*a(n-3) +45*a(n-4) -103*a(n-5) +115*a(n-6) -38*a(n-7) -107*a(n-8) -131*a(n-9) +921*a(n-10) -596*a(n-11) -2181*a(n-12) +5379*a(n-13) -6824*a(n-14) +4068*a(n-15) +5485*a(n-16) -16322*a(n-17) +22346*a(n-18) -18834*a(n-19) +189*a(n-20) +18197*a(n-21) -22297*a(n-22) +20167*a(n-23) -13557*a(n-24) +7411*a(n-25) -7586*a(n-26) +3540*a(n-27) +8543*a(n-28) -19094*a(n-29) +22262*a(n-30) -18776*a(n-31) +8091*a(n-32) +2783*a(n-33) -6540*a(n-34) +7569*a(n-35) -6328*a(n-36) +4240*a(n-37) -4436*a(n-38) +3729*a(n-39) -1549*a(n-40) -563*a(n-41) +2054*a(n-42) -2410*a(n-43) +1438*a(n-44) -269*a(n-45) -74*a(n-46) +186*a(n-47) -36*a(n-48) -200*a(n-49) +112*a(n-50) -32*a(n-51) -32*a(n-52) +80*a(n-53) -32*a(n-54) for n>62

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2015