Least sum of 3 distinct positive cubes in exactly n ways.

Terms

a(0) =36a(1) =1009a(2) =5104a(3) =13896a(4) =161568a(5) =1296378a(6) =2016496a(7) =2562624a(8) =14926248a(9) =34012224a(10) =69190848a(11) =150547032a(12) =119095488a(13) =1204376256a(14) =952763904a(15) =1592865000a(16) =3974344704a(17) =2176782336a(18) =10077696000a(19) =2985984000a(20) =36330467328a(21) =30723115968a(22) =23887872000a(23) =17414258688a(24) =72825163776a(25) =75686967000a(26) =204141384000a(27) =62099136000a(28) =139314069504a(29) =245784927744