A modified Engel expansion of sqrt(2).

Terms

a(0) =1a(1) =3a(2) =6a(3) =4a(4) =2a(5) =2a(6) =4a(7) =6a(8) =23a(9) =66a(10) =108a(11) =7738a(12) =290a(13) =9a(14) =24a(15) =32a(16) =30a(17) =4a(18) =6a(19) =3a(20) =6a(21) =24a(22) =22a(23) =2a(24) =6a(25) =20a(26) =6a(27) =9a(28) =16a(29) =5