Number of compositions of n such that none of the smallest parts are adjacent.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =9a(6) =15a(7) =29a(8) =53a(9) =98a(10) =180a(11) =336a(12) =618a(13) =1142a(14) =2110a(15) =3899a(16) =7197a(17) =13283a(18) =24509a(19) =45218a(20) =83396a(21) =153769a(22) =283463a(23) =522449a(24) =962732a(25) =1773742a(26) =3267417a(27) =6018030a(28) =11082693a(29) =20407174