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A201877 Number of zero-sum -n..n arrays of 6 elements with first and second differences also in -n..n 1

%I #5 Mar 31 2012 12:36:45

%S 11,129,643,2191,5963,13635,27647,51753,90021,147955,233373,353731,

%T 518711,742015,1035117,1413269,1897685,2504735,3256189,4183023,

%U 5306711,6657117,8276669,10192753,12444053,15087213,18155235,21697465,25786411

%N Number of zero-sum -n..n arrays of 6 elements with first and second differences also in -n..n

%C Row 6 of A201873

%H R. H. Hardin, <a href="/A201877/b201877.txt">Table of n, a(n) for n = 1..175</a>

%F Empirical: a(n) = a(n-3) +a(n-5) +a(n-6) -a(n-8) -a(n-11) +a(n-14) -2*a(n-15) -a(n-17) -a(n-19) +a(n-20) +a(n-22) +a(n-24) +a(n-25) +a(n-27) +a(n-29) -a(n-30) -a(n-32) -2*a(n-34) +a(n-35) -a(n-38) -a(n-41) +a(n-43) +a(n-44) +a(n-46) -a(n-49)

%e Some solutions for n=9

%e ..6....0...-7....4...-1....4....6...-6....5...-4...-9....6....2....0...-2....4

%e ..4...-3...-1....4....2....2...-2...-5....7....1...-3....2....2....4....1....8

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

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

%e .-8....2...-1...-1...-4...-3....0....4...-5...-1....7...-1...-2...-2....2...-4

%e .-4....1....3...-5....0....1....0....5....0....3...-2....2...-4....0...-5...-8

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 06 2011

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Last modified April 16 11:08 EDT 2024. Contains 371711 sequences. (Running on oeis4.)