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%I #12 May 31 2022 11:20:14
%S 1,4,118,136,315,3727,3763,15503,153396,156559,984404,1119377
%N Let p(k)/q(k) = A096456(k)/A096463(k) be the k-th convergent to Pi/2; sequence gives numbers n such that |tan(p(n))|/p(n) sets a new maximal record.
%H I. Rosenholtz, <a href="http://www.jstor.org/stable/2690793">Tangent sequences, world records, ...</a>, Math. Mag., 72 (No. 5, 1999), 367-376.
%e The fifth term is 315. This means that at p(315), which is a number near 2.37*10^154, |tan(p(315))|/p(315) sets a new record, a number near 556.31.
%Y Cf. A096463, A096456, A053300.
%K nonn
%O 1,2
%A _N. J. A. Sloane_, Aug 16 2004