Numbers of the form 4^k*(8*j+7) that have exactly three partitions into four positive squares.

Terms

a(0) =28a(1) =55a(2) =60a(3) =79a(4) =92a(5) =95a(6) =112a(7) =240a(8) =368a(9) =448a(10) =960a(11) =1472a(12) =1792a(13) =3840a(14) =5888a(15) =7168a(16) =15360a(17) =23552a(18) =28672a(19) =61440a(20) =94208a(21) =114688a(22) =245760a(23) =376832a(24) =458752a(25) =983040a(26) =1507328a(27) =1835008a(28) =3932160a(29) =6029312