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A256949 Number of (n+2)X(3+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 and vertically 1

%I #4 Apr 13 2015 20:46:37

%S 10732,66542,319819,1015815,2663867,6028589,12037534,21294643,

%T 35521186,57234252,89676230,134932398,198655215,288520658,415961574,

%U 589167646,826254462,1152482731,1611607524,2230360474,3072644988,4233869096

%N Number of (n+2)X(3+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 and vertically

%C Column 3 of A256954

%H R. H. Hardin, <a href="/A256949/b256949.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -7*a(n-2) +11*a(n-3) -12*a(n-4) -2*a(n-5) +18*a(n-6) -41*a(n-7) +82*a(n-8) -88*a(n-9) +80*a(n-10) -63*a(n-11) -30*a(n-12) +92*a(n-13) -124*a(n-14) +185*a(n-15) -157*a(n-16) +144*a(n-17) -165*a(n-18) +104*a(n-19) -82*a(n-20) +46*a(n-21) +46*a(n-22) -84*a(n-23) +136*a(n-24) -180*a(n-25) +152*a(n-26) -112*a(n-27) +64*a(n-28) -16*a(n-29) for n>47

%e Some solutions for n=2

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

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

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

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

%Y Cf. A256954

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 13 2015

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)