a(n) = H_n(1) / 2^floor(n/2) where H_n is the n-th Hermite polynomial.

Terms

a(0) =1a(1) =2a(2) =1a(3) =-2a(4) =-5a(5) =-2a(6) =23a(7) =58a(8) =-103a(9) =-670a(10) =257a(11) =7214a(12) =4387a(13) =-77794a(14) =-134825a(15) =819466a(16) =2841841a(17) =-7427774a(18) =-55739071a(19) =22221790a(20) =1081264139a(21) =1718092478a(22) =-20988454441a(23) =-79774943398a(24) =402959508745