Edge length of largest square dissectable into up to n squares in Mrs. Perkins's quilt problem.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =3a(6) =4a(7) =5a(8) =7a(9) =9a(10) =13a(11) =17a(12) =23a(13) =29a(14) =41a(15) =53a(16) =70a(17) =91a(18) =126a(19) =158a(20) =216a(21) =276a(22) =386a(23) =488a(24) =675a(25) =866a(26) =1179a(27) =1544a(28) =2136a(29) =2739