A200202 - OEIS

A200202

Number of -6..6 arrays x(0..n+2) of n+3 elements with zero sum and nonzero second and third differences.

%I #7 Apr 17 2023 15:20:31

%S 1316,14842,168054,1910006,21939870,253625670,2949336370,34451583494,

%T 403936559664,4751104584700,56034400780878,662427465209118,

%U 7847270531133920,93130188698344434,1107048144990218486

%N Number of -6..6 arrays x(0..n+2) of n+3 elements with zero sum and nonzero second and third differences.

%C Column 6 of A200204.

%H R. H. Hardin, <a href="/A200202/b200202.txt">Table of n, a(n) for n = 1..42</a>

%e Some solutions for n=3

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

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

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

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

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

%e .-4....4...-5....6....2....2....0...-6...-4...-5....6....4....2....4....0...-2

%Y Cf. A200204.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 14 2011