Convolution of (1,-1,2,-2,3,-3,...) and A000045 (Fibonacci numbers).

Terms

a(0) =1a(1) =0a(2) =3a(3) =1a(4) =7a(5) =5a(6) =16a(7) =17a(8) =38a(9) =50a(10) =94a(11) =138a(12) =239a(13) =370a(14) =617a(15) =979a(16) =1605a(17) =2575a(18) =4190a(19) =6755a(20) =10956a(21) =17700a(22) =28668a(23) =46356a(24) =75037a(25) =121380a(26) =196431a(27) =317797a(28) =514243a(29) =832025