Number of integer sequences of length n+1 with sum zero and sum of absolute values 10.

Terms

a(0) =2a(1) =30a(2) =252a(3) =1500a(4) =7002a(5) =27174a(6) =91112a(7) =271224a(8) =731502a(9) =1815506a(10) =4197468a(11) =9129276a(12) =18827718a(13) =37060506a(14) =70006512a(15) =127485584a(16) =224676522a(17) =384468534a(18) =640622012a(19) =1041949020a(20) =1657762722a(21) =2584888350a(22) =3956576472a(23) =5953712520a(24) =8818775030a(25) =12873059082a(26) =18537751260