A202072 - OEIS

%I #5 Mar 31 2012 12:36:46

%S 14,120,264,0,3752,34632,80812,0,1201220,11395632,27164010,0,

%T 412081530,3962205256,9551670652,0,146582674200,1420696529280,

%U 3448764292020,0,53320604716082,519526871115120,1267129662479106,0,19692671314474548

%N Number of arrays of n+2 integers in -4..4 with sum zero and the sum of every adjacent pair being odd

%C Column 4 of A202076

%H R. H. Hardin, <a href="/A202072/b202072.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e .-4...-4....4....2....0....2....4....0....0....0...-2....4....2...-4...-4....4

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

%e ..0....4....2....2...-2....0...-4....4....2...-2...-4...-4....0....0....4...-4

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

%e ..2...-2...-4....2....0...-2....0...-2....0....4....4....2...-4....4....4....4

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 10 2011