cp's OEIS Frontend

A200458 Number of -n..n arrays x(0..5) of 6 elements with zero sum and nonzero first and second differences.

%I A200458 #7 Jul 22 2025 15:50:22
%S A200458 10,486,3788,16380,50852,127988,278906,547518,991740,1686602,2726152,
%T A200458 4224676,6319970,9175294,12980046,17954222,24348932,32448240,42572590,
%U A200458 55080404,70369230,88879322,111095332,137546940,168813148,205524308
%N A200458 Number of -n..n arrays x(0..5) of 6 elements with zero sum and nonzero first and second differences.
%C A200458 Row 4 of A200454
%H A200458 R. H. Hardin, <a href="/A200458/b200458.txt">Table of n, a(n) for n = 1..200</a>
%F A200458 Empirical: a(n) = a(n-3) +a(n-4) +2*a(n-5) -2*a(n-8) -a(n-9) -2*a(n-10) -a(n-11) -a(n-12) +2*a(n-15) +2*a(n-16) +2*a(n-17) +2*a(n-18) -a(n-21) -a(n-22) -2*a(n-23) -a(n-24) -2*a(n-25) +2*a(n-28) +a(n-29) +a(n-30) -a(n-33)
%e A200458 Some solutions for n=3
%e A200458 ..1....0...-1....3....2...-3...-1...-2...-2....2...-1....0....1....2...-3....3
%e A200458 ..0....3...-3....1....0....2...-2....2....3...-3....2...-2...-2...-3....3...-2
%e A200458 ..3...-2....0....2...-1....0....3...-3...-1....1....1....3...-1...-1...-2....1
%e A200458 .-2...-1....1...-3....2....3...-1....1....2....0....3...-1....2....3....3...-1
%e A200458 ..1....2....3....0....0...-3....2...-1....1....1...-2....2...-1....0...-2....0
%e A200458 .-3...-2....0...-3...-3....1...-1....3...-3...-1...-3...-2....1...-1....1...-1
%K A200458 nonn
%O A200458 1,1
%A A200458 _R. H. Hardin_ Nov 18 2011