a(n) is the numerator of the n-th convergent of [L_1, L_2, L_3, ...] where L_i is the period of the continued fraction for sqrt(i).

A053190

a(n) is the numerator of the n-th convergent of [L_1, L_2, L_3, ...] where L_i is the period of the continued fraction for sqrt(i).

Terms

    a(0) =0a(1) =1a(2) =2a(3) =1a(4) =3a(5) =7a(6) =31a(7) =69a(8) =31a(9) =100a(10) =231a(11) =562a(12) =3041a(13) =12726a(14) =28493a(15) =12726a(16) =41219a(17) =95164a(18) =612203a(19) =1319570a(20) =8529623a(21) =52497308a(22) =218518855a(23) =489535018a(24) =218518855a(25) =708053873a(26) =1634626601a(27) =7246560277a(28) =37867427986a(29) =82981416249

External references