A254547 - OEIS

%I #7 Jan 18 2022 00:30:55

%S 2696,9292,39661,128366,443179,1412248,4537801,14148124,44000373,

%T 134814295,412099128,1251977561,3797440579,11489665801,34729306703,

%U 104857254464,316408018704,954240020343,2876947703938,8671423972262

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

%C Column 2 of A254553.

%H R. H. Hardin, <a href="/A254547/b254547.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -8*a(n-2) -11*a(n-3) +31*a(n-4) -30*a(n-5) +24*a(n-6) +40*a(n-7) -51*a(n-8) -273*a(n-9) +426*a(n-10) +529*a(n-11) -1549*a(n-12) +1752*a(n-13) -1771*a(n-14) -1226*a(n-15) +4804*a(n-16) -5488*a(n-17) +6566*a(n-18) -214*a(n-19) -6805*a(n-20) +4801*a(n-21) -5890*a(n-22) +3586*a(n-23) -495*a(n-24) +2835*a(n-25) -1421*a(n-26) -2137*a(n-27) +5690*a(n-28) -5577*a(n-29) +5418*a(n-30) -2363*a(n-31) -2053*a(n-32) +1040*a(n-33) -2407*a(n-34) +1715*a(n-35) -491*a(n-36) +1543*a(n-37) -859*a(n-38) +468*a(n-39) +246*a(n-40) -539*a(n-41) +730*a(n-42) -411*a(n-43) -114*a(n-44) -86*a(n-45) -132*a(n-46) +8*a(n-47) +112*a(n-48) +16*a(n-49) +32*a(n-50) +16*a(n-51) -32*a(n-52) for n>59.

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A254553.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2015