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Number of -5..5 arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous.
1

%I #7 Jun 26 2022 03:22:49

%S 1,6,25,103,399,1532,5754,21383,78735,288580,1053894,3840866,13981403,

%T 50874249,185128907,673970102,2455319377,8952722626,32676307483,

%U 119391572211,436711281979,1599194641093,5862625449021,21515851244159

%N Number of -5..5 arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous.

%C Column 5 of A199847.

%H R. H. Hardin, <a href="/A199844/b199844.txt">Table of n, a(n) for n = 1..186</a>

%e Some solutions for n=6

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

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

%e ..1....1....2....2...-2...-1...-1....3....1...-2....1....3....2...-2...-2....3

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

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

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

%Y Cf. A199847.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 11 2011