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 A228982 Number of n X 4 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 5 0..1 array. 1

%I

%S 16,252,3928,56472,796568,11130176,155031688,2156604552,29985039328,

%T 416823924560,5793846296768,80531910410704,1119344588000512,

%U 15558135352381712,216247191614630888,3005682392732317840

%N Number of n X 4 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 5 0..1 array.

%C Column 4 of A228986.

%H R. H. Hardin, <a href="/A228982/b228982.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) -158*a(n-2) +138*a(n-3) +1882*a(n-4) -5541*a(n-5) -1765*a(n-6) +27052*a(n-7) -30183*a(n-8) -16618*a(n-9) +43878*a(n-10) -6404*a(n-11) -24571*a(n-12) -114255*a(n-13) +310172*a(n-14) -393716*a(n-15) +434392*a(n-16) -95694*a(n-17) -310560*a(n-18) +812652*a(n-19) -826336*a(n-20) +1196502*a(n-21) -1064116*a(n-22) +1165296*a(n-23) -1004064*a(n-24) -70272*a(n-25) -250304*a(n-26) -1624864*a(n-27) +1044992*a(n-28) -1669888*a(n-29) +756544*a(n-30) -334784*a(n-31) +79104*a(n-32) +115200*a(n-33) -9216*a(n-34) +18432*a(n-35) for n>36.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A228986.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 10 2013

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Last modified February 2 12:13 EST 2023. Contains 360011 sequences. (Running on oeis4.)