a(1) = 1, a(n) = -floor(e*a(n/2)) if n is even, a(n) = n - a(n-1) if n is odd.

Terms

a(0) =1a(1) =-2a(2) =5a(3) =6a(4) =-1a(5) =-13a(6) =20a(7) =-16a(8) =25a(9) =3a(10) =8a(11) =36a(12) =-23a(13) =-54a(14) =69a(15) =44a(16) =-27a(17) =-67a(18) =86a(19) =-8a(20) =29a(21) =-21a(22) =44a(23) =-97a(24) =122a(25) =63a(26) =-36a(27) =147a(28) =-118a(29) =-187