Number of compositions [p(1), p(2), ..., p(k)] of n such that p(j) != p(j-2).

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =9a(6) =18a(7) =29a(8) =53a(9) =91a(10) =162a(11) =277a(12) =495a(13) =855a(14) =1508a(15) =2625a(16) =4618a(17) =8049a(18) =14130a(19) =24675a(20) =43255a(21) =75621a(22) =132475a(23) =231697a(24) =405751a(25) =709887a(26) =1242824a(27) =2174763a(28) =3806989a(29) =6662291