This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A362662 #19 May 05 2023 05:00:39
%S A362662 8,2,2,0,8,2,2,0,0,8,0,3,5,8,8,2,0,2,9,3,5,8,7,0,1,1,8,7,1,5,9,9,3,5,
%T A362662 2,0,7,3,0,4,4,6,0,4,3,8,1,1,6,5,3,2,6,3,9,0,8,3,6,8,5,9,3,9,3,4,3,7,
%U A362662 1,0,5,3,4,5,3,5,4,3,6,8,1,3,2,4,6,0,0,4,7,1,3,4,7,4,3,2,2
%N A362662 Decimal expansion of Sum_{n>=1} (tan(1/n) - sin(1/n)).
%C A362662 Series Sum_{n>=1} sin(1/n) and Sum_{n>=1} tan(1/n) -> oo but with u(n) = (tan(1/n) - sin(1/n)), as u(n) ~ 1 / (2*n^3) when n -> oo, the series Sum_{n>=1} u(n) is convergent.
%D A362662 J. Guégand and M.-A. Maingueneau, Exercices d'Analyse, Exercice 1 - 41.2, p. 47, Classes Préparatoires aux Grandes Ecoles, Ellipses, 1988.
%e A362662 Equals 0.822082200803588202935870118715993520730...
%p A362662 evalf(sum(tan(1/n) - sin(1/n), n=1..infinity), 120);
%o A362662 (PARI) sumpos(n=1, tan(1/n) - sin(1/n)) \\ _Michel Marcus_, Apr 29 2023
%Y A362662 Cf. A096444, A248946, A248948, A342680.
%K A362662 nonn,cons
%O A362662 0,1
%A A362662 _Bernard Schott_, Apr 29 2023