Sequence arising in search for Legendre sequences.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =3a(6) =13a(7) =10a(8) =15a(9) =36a(10) =52a(11) =77a(12) =183a(13) =255a(14) =382a(15) =548a(16) =1632a(17) =1298a(18) =4581