Sum of terms in n-th row of modified Pascal's triangle displayed in A082905.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =12a(5) =32a(6) =22a(7) =128a(8) =140a(9) =350a(10) =294a(11) =2048a(12) =1638a(13) =8192a(14) =4890a(15) =15878a(16) =32908a(17) =131072a(18) =81184a(19) =524288a(20) =493582a(21) =1165676a(22) =1393770a(23) =8388608a(24) =5771318a(25) =26910682a(26) =23162026a(27) =89478836a(28) =131854546a(29) =536870912