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A240785 Number of 4Xn 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order 1

%I #4 Apr 12 2014 18:13:23

%S 8,34,97,305,959,3033,9581,30354,96122,304551,964960,3057691,9689250,

%T 30704176,97298863,308333649,977091497,3096352093,9812187127,

%U 31094352992,98536547134,312257747281,989530396718,3135776321313,9937131194560

%N Number of 4Xn 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order

%C Row 4 of A240783

%H R. H. Hardin, <a href="/A240785/b240785.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -11*a(n-2) +7*a(n-3) -10*a(n-5) +13*a(n-6) -3*a(n-7) +27*a(n-8) -44*a(n-9) +13*a(n-10) +5*a(n-11) -8*a(n-12) +8*a(n-13) -3*a(n-14) +a(n-15)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2014

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Last modified April 25 16:23 EDT 2024. Contains 371989 sequences. (Running on oeis4.)