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Number of nX2 0..6 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor
1

%I #5 Mar 31 2012 12:36:55

%S 7,455,16625,491953,14623955,449303011,13830934581,423540231589,

%T 12960863692877,396932534594913,12158312949466207,372374419011765611,

%U 11404358044432223467,349276052222114506979,10697191686358715474073

%N Number of nX2 0..6 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor

%C Column 2 of A203066

%H R. H. Hardin, <a href="/A203060/b203060.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 28*a(n-1) -119*a(n-2) +5320*a(n-3) +14657*a(n-4) +262356*a(n-5) +711785*a(n-6) +4372840*a(n-7) +8450903*a(n-8) +26917092*a(n-9) +32103217*a(n-10) +55870264*a(n-11) +31144464*a(n-12) +25401600*a(n-13)

%e Some solutions for n=5

%e ..4..1....6..1....6..6....6..0....6..2....4..3....6..1....1..0....1..6....2..2

%e ..4..6....6..3....0..2....6..3....6..6....4..6....6..1....3..6....5..6....5..0

%e ..0..6....3..5....0..1....3..4....5..1....5..6....1..3....0..6....1..0....5..5

%e ..4..2....6..5....1..3....4..4....5..6....3..4....4..6....3..4....1..6....2..3

%e ..6..6....6..2....6..6....1..1....5..6....6..6....5..6....5..5....6..6....4..4

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 28 2011

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Last modified September 24 00:34 EDT 2024. Contains 376185 sequences. (Running on oeis4.)