Integers k such that the sum of the first k noncubes is a square.

Terms

a(0) =3a(1) =7a(2) =15a(3) =37a(4) =69a(5) =188a(6) =254a(7) =19274a(8) =20798a(9) =22380a(10) =26439a(11) =28219a(12) =30057a(13) =189067a(14) =279203a(15) =369162a(16) =1517727a(17) =1528134a(18) =2964593a(19) =3978491a(20) =4645227a(21) =4701433a(22) =4757977a(23) =4895880a(24) =4953578a(25) =5011614a(26) =5062958a(27) =7200291a(28) =20845013a(29) =51370845