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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).
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%I #9 Nov 20 2023 08:14:34

%S 0,1,2,1,3,7,31,69,31,100,231,562,3041,12726,28493,12726,41219,95164,

%T 612203,1319570,8529623,52497308,218518855,489535018,218518855,

%U 708053873,1634626601,7246560277,37867427986,82981416249,701718757978

%N 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).

%e The numerator of the 7th convergent of [0, 1, 2, 0, 1, 2, 4, 2, 0, 1, 2, 2, 5, 4, 2...] is 31.

%Y Cf. A053011.

%K frac,nonn

%O 1,3

%A Justin T. Miller (miller(AT)u.arizona.edu), Mar 02 2000

%E More terms from _James A. Sellers_, Mar 02 2000