Number of integer compositions of n with the same length as their alternating sum.

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =1a(5) =3a(6) =1a(7) =4a(8) =6a(9) =20a(10) =13a(11) =48a(12) =50a(13) =175a(14) =141a(15) =512a(16) =481a(17) =1719a(18) =1491a(19) =5400a(20) =4929a(21) =17776a(22) =15840a(23) =57420a(24) =52079a(25) =188656a(26) =169989a(27) =617176a(28) =559834a(29) =2033175