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Numerators of convergents to Pi/2.
7

%I #16 Oct 13 2020 23:37:23

%S 1,2,3,11,344,355,51819,52174,260515,573204,4846147,5419351,37362253,

%T 42781604,122925461,411557987,534483448,2549491779,3083975227,

%U 17969367914,21053343141,881156436695,902209779836,2685575996367

%N Numerators of convergents to Pi/2.

%H M. F. Hasler, <a href="/A096456/b096456.txt">Table of n, a(n) for n = 1..1500</a>, Oct 13 2020

%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 1, 2, 3/2, 11/7, 344/219, 355/226, ...

%t Table[Numerator[FromContinuedFraction[ContinuedFraction[Pi/2, n]]], {n, 1, 25}] (* _Stefan Steinerberger_, Mar 18 2006 *)

%o (PARI) contfracpnqn(c=contfrac(Pi/2),#c)[1,] \\ _M. F. Hasler_, Oct 13 2020

%Y Cf. A096463 (denominators), A053300.

%Y Cf. A002485 (numerators of convergents to Pi).

%K nonn,frac,easy

%O 1,2

%A _N. J. A. Sloane_, Aug 16 2004

%E More terms from _Stefan Steinerberger_, Mar 18 2006