A027140 a(n) = Sum_{k=0..n} T(n,k) * T(n,n+k), with T given by A027113.
1, 3, 12, 57, 264, 1261, 6141, 30276, 150853, 758145, 3836896, 19534086, 99957904, 513756551, 2650822585, 13724435509, 71275344341, 371177285715, 1937791196448, 10139548682524, 53165765660928, 279301910804937
Offset: 0