Padovan numbers for which the sum of the digits is also a Padovan number.

Terms

a(0) =0a(1) =1a(2) =2a(3) =3a(4) =4a(5) =5a(6) =7a(7) =9a(8) =12a(9) =16a(10) =21a(11) =151a(12) =200a(13) =351a(14) =4410a(15) =73396a(16) =170625a(17) =922111a(18) =1221537a(19) =1618192a(20) =2143648a(21) =35676949a(22) =62608681a(23) =1380359512a(24) =2422362079a(25) =4250949112a(26) =7459895657a(27) =93722435101a(28) =164471408185a(29) =217878227876