Number of strictly increasing arrangements of 5 numbers in -(n+3)..(n+3) with sum zero.

Terms

a(0) =12a(1) =32a(2) =73a(3) =141a(4) =252a(5) =414a(6) =649a(7) =967a(8) =1394a(9) =1944a(10) =2649a(11) =3523a(12) =4604a(13) =5910a(14) =7483a(15) =9343a(16) =11538a(17) =14090a(18) =17053a(19) =20451a(20) =24342a(21) =28754a(22) =33751a(23) =39361a(24) =45654a(25) =52662a(26) =60459a(27) =69079a(28) =78602a(29) =89064