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A254841 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically 1

%I #8 Mar 05 2015 14:22:49

%S 30182,117706,340387,701614,1308339,2339906,3986282,6690291,10891568,

%T 17356772,28121949,46400232,75439506,121698683,210485020,384258039,

%U 680687166,1186268774,2282821919,4618153004,8753286493,16014990005

%N Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically

%C Column 4 of A254845

%H R. H. Hardin, <a href="/A254841/b254841.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -17*a(n-2) +33*a(n-3) -30*a(n-4) -61*a(n-5) +285*a(n-6) -618*a(n-7) +911*a(n-8) -784*a(n-9) +7*a(n-10) +1268*a(n-11) -2683*a(n-12) +3502*a(n-13) -3369*a(n-14) +2710*a(n-15) -1886*a(n-16) +1406*a(n-17) -1314*a(n-18) +891*a(n-19) +13*a(n-20) -1337*a(n-21) +2744*a(n-22) -3452*a(n-23) +3356*a(n-24) -2668*a(n-25) +1664*a(n-26) -832*a(n-27) +320*a(n-28) -64*a(n-29) for n>53

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2015

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