Number of arrays of 5 integers in -n..n with sum zero and the sum of every adjacent pair being odd.

Terms

a(0) =2a(1) =26a(2) =78a(3) =264a(4) =504a(5) =1128a(6) =1786a(7) =3262a(8) =4660a(9) =7540a(10) =10092a(11) =15066a(12) =19278a(13) =27174a(14) =33644a(15) =45428a(16) =54846a(17) =71622a(18) =84770a(19) =107780a(20) =125532a(21) =156156a(22) =179478a(23) =219234a(24) =249184a(25) =299728a(26) =337456a(27) =400582a(28) =447330a(29) =524970