Odd values of k > 1 for which there are k-hyperperfect numbers.

Terms

a(0) =3a(1) =11a(2) =19a(3) =31a(4) =35a(5) =59a(6) =75a(7) =91a(8) =111a(9) =115a(10) =131a(11) =151a(12) =179a(13) =235a(14) =255a(15) =311a(16) =335a(17) =339a(18) =371a(19) =375a(20) =399a(21) =411a(22) =431a(23) =439a(24) =495a(25) =515a(26) =531a(27) =539a(28) =551a(29) =591