a(n) = Sum_{k=0..2n} (k+1) * A027052(n, k).

Terms

a(0) =1a(1) =4a(2) =17a(3) =58a(4) =199a(5) =682a(6) =2301a(7) =7654a(8) =25145a(9) =81740a(10) =263407a(11) =842720a(12) =2679935a(13) =8479378a(14) =26713555a(15) =83847748a(16) =262335577a(17) =818473148a(18) =2547289679a(19) =7910433568a(20) =24517303535a(21) =75854736178a(22) =234317624167a(23) =722776320072