A201440 - OEIS

%I #5 Mar 31 2012 12:36:44

%S 5,21,55,111,479,837,1333,1989,2827,5737,7743,10165,13031,16369,26119,

%T 32081,38875,46541,55115,78221,91467,106087,122147,139713,184765,

%U 209597,236519,265591,296875,374751,416515,461207,508905,559677,683245,748295

%N Number of zero-sum -n..n arrays of 5 elements with first through fourth differences also in -n..n

%C Row 5 of A201439

%H R. H. Hardin, <a href="/A201440/b201440.txt">Table of n, a(n) for n = 1..75</a>

%e Some solutions for n=11

%e -11...-4....0...-2...-3....0..-10...-8...-3...-2....4....5....3....4...-3...-5

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

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

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

%e ..2....5....0...-5...-3....2...-1...-1...-9....4...-8...-4....3....4....1....3

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 01 2011