Number of spiny partitions with exactly n parts.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =20a(6) =47a(7) =111a(8) =267a(9) =646a(10) =1582a(11) =3892a(12) =9636a(13) =23961a(14) =59871a(15) =150128a(16) =377738a(17) =953029a(18) =2410626a(19) =6111055a(20) =15524013a(21) =39508683a(22) =100719223a(23) =257150952a(24) =657454544a(25) =1683042629a(26) =4313582090a(27) =11067748352a(28) =28426813910a(29) =73082880708