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 A255030 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I

%S 2554,9492,33778,87907,196724,407885,794663,1460513,2583757,4473909,

%T 7580232,12566584,20578851,33488585,53933411,86021960,136821479,

%U 217262237,342983060,539386487,849243443,1336448972,2095677481

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

%C Column 2 of A255036

%H R. H. Hardin, <a href="/A255030/b255030.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-2) -2*a(n-3) +2*a(n-4) -11*a(n-5) +8*a(n-6) +15*a(n-7) -15*a(n-8) +7*a(n-9) +5*a(n-10) -7*a(n-11) -14*a(n-12) -20*a(n-13) +24*a(n-14) +35*a(n-15) -26*a(n-16) -51*a(n-17) +76*a(n-18) +70*a(n-19) -105*a(n-20) -92*a(n-21) +107*a(n-22) +85*a(n-23) -137*a(n-24) -60*a(n-25) +141*a(n-26) +48*a(n-27) -108*a(n-28) -16*a(n-29) +72*a(n-30) -8*a(n-31) -44*a(n-32) +4*a(n-33) +20*a(n-34) -4*a(n-36) for n>42

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255036

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 13 2015

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Last modified December 2 13:56 EST 2021. Contains 349445 sequences. (Running on oeis4.)