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A203256 Number of nX2 0..7 arrays with every nonzero element less than or equal to some NW, E or S neighbor 1

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

%S 1,64,2598,62098,1224456,24301646,508333573,10796311201,227388709221,

%T 4758047352741,99544750655412,2085847467997684,43730820112478471,

%U 916653540455467303,19210279580301799126,402581567408971305348

%N Number of nX2 0..7 arrays with every nonzero element less than or equal to some NW, E or S neighbor

%C Column 2 of A203262

%H R. H. Hardin, <a href="/A203256/b203256.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 64*a(n-1) -1848*a(n-2) +33600*a(n-3) -431592*a(n-4) +4086840*a(n-5) -29206462*a(n-6) +160678294*a(n-7) -693264590*a(n-8) +2392550992*a(n-9) -6777430404*a(n-10) +16251895568*a(n-11) -33600669981*a(n-12) +59027125766*a(n-13) -84488023983*a(n-14) +94715868410*a(n-15) -83342440797*a(n-16) +62202372085*a(n-17) -42529439142*a(n-18) +24388393885*a(n-19) -9901259764*a(n-20) +2690832600*a(n-21) -486202500*a(n-22)

%e Some solutions for n=4

%e ..4..0....6..0....3..4....5..4....0..0....2..7....6..4....6..0....5..7....0..1

%e ..4..3....6..4....1..4....5..4....3..0....1..7....6..6....6..3....6..7....0..7

%e ..4..0....6..0....4..4....5..3....3..0....7..7....0..0....6..4....7..7....7..7

%e ..4..4....6..6....0..4....5..5....3..3....1..7....0..0....6..6....0..7....7..7

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011

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Last modified April 24 19:59 EDT 2024. Contains 371963 sequences. (Running on oeis4.)