Numbers k such that A006577(k^3) sets a new record.

Terms

a(0) =2a(1) =3a(2) =6a(3) =7a(4) =14a(5) =15a(6) =25a(7) =41a(8) =45a(9) =71a(10) =79a(11) =153a(12) =233a(13) =235a(14) =470a(15) =503a(16) =707a(17) =741a(18) =1482a(19) =2964a(20) =3039a(21) =3581a(22) =7162a(23) =14324a(24) =27337a(25) =54674a(26) =61683a(27) =123366a(28) =168159a(29) =254251