Euler transform of A051064, the ruler function sequence for k=3.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =6a(5) =9a(6) =16a(7) =22a(8) =33a(9) =51a(10) =71a(11) =100a(12) =147a(13) =199a(14) =275a(15) =384a(16) =515a(17) =692a(18) =944a(19) =1242a(20) =1645a(21) =2186a(22) =2847a(23) =3706a(24) =4848a(25) =6231a(26) =8019a(27) =10330a(28) =13153a(29) =16729