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A256950 Number of (n+2) X (4+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically. 1

%I #6 Oct 15 2023 18:45:37

%S 42890,262251,1015815,2782301,6304044,11484877,18040804,26715881,

%T 40022560,56292649,77255078,102627725,141269994,188430201,250036700,

%U 319805527,432798068,574133619,765221004,970037933,1331064994,1795685605

%N Number of (n+2) X (4+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically.

%C Column 4 of A256954.

%H R. H. Hardin, <a href="/A256950/b256950.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) +5*a(n-4) -12*a(n-5) +5*a(n-6) -6*a(n-7) -a(n-8) +16*a(n-9) -a(n-10) +7*a(n-11) -13*a(n-12) -2*a(n-13) -13*a(n-14) +6*a(n-15) +2*a(n-16) +12*a(n-17) +2*a(n-18) -8*a(n-19) +8*a(n-20) -16*a(n-21) +8*a(n-22) for n>39.

%e Some solutions for n=1

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

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

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

%Y Cf. A256954.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 13 2015

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Last modified April 25 09:10 EDT 2024. Contains 371964 sequences. (Running on oeis4.)