Tetrahedral numbers k*(k+1)*(k+2)/6 such that exactly one of k, k+1, and k+2 is prime.

Terms

a(0) =0a(1) =20a(2) =56a(3) =84a(4) =165a(5) =220a(6) =364a(7) =455a(8) =680a(9) =816a(10) =1140a(11) =1330a(12) =1771a(13) =2024a(14) =2300a(15) =3654a(16) =4060a(17) =4960a(18) =5456a(19) =7770a(20) =8436a(21) =9139a(22) =10660a(23) =11480a(24) =13244a(25) =14190a(26) =16215a(27) =17296a(28) =18424a(29) =23426