A201442 - OEIS

%I #6 Mar 31 2012 12:36:44

%S 5,39,295,1275,4285,11591,27087,57287,111197,203089,349901,576085,

%T 913583,1401163,2091765,3041933,4328151,6039055,8278625,11178429,

%U 14870953,19532181,25349001,32546367,41378489,52112595,65077017,80620049,99147253

%N Number of zero-sum -n..n arrays of 7 elements with first through fourth differences also in -n..n

%C Row 7 of A201439

%H R. H. Hardin, <a href="/A201442/b201442.txt">Table of n, a(n) for n = 1..50</a>

%e Some solutions for n=8

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

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

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

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

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

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

%e ..2....8....1....5....1....2....7....6...-7....3....6....6...-1....0...-7....5

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 01 2011