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Decimal expansion of sum_{n >= 1} sin(2/n^2).
3

%I #13 Oct 20 2014 18:10:48

%S 2,1,7,6,3,0,5,1,4,7,7,7,5,8,3,2,4,0,2,1,8,6,2,2,9,5,6,9,8,6,3,9,3,6,

%T 4,7,9,3,4,9,4,3,9,2,0,3,1,9,1,6,9,8,1,5,4,4,9,5,1,6,5,1,5,5,0,6,2,8,

%U 6,6,7,1,8,6,7,1,5,4,4,8,2,5,4,6,2,1,4,6,0,3,5,0,0,2,8,8,7,6,1,9,4,2,9,3,5

%N Decimal expansion of sum_{n >= 1} sin(2/n^2).

%H Vaclav Kotesovec, <a href="/A248950/b248950.txt">Table of n, a(n) for n = 1..500</a>

%e 2.1763051477758324021862295698639364793494392031916981544951651550628667...

%p evalf(sum(sin(2/n^2), n=1..infinity), 120); # _Vaclav Kotesovec_, Oct 20 2014

%t (* N[Sum[Sin[2/n^2], {n, 1, Infinity}], 120], yields only 26 correct decimals *)

%o (PARI) default(realprecision,120); sumpos(n=1,sin(2/n^2)) \\ _Vaclav Kotesovec_, Oct 20 2014

%Y Cf. A248946, A248947, A248949.

%K nonn,easy,cons

%O 1,1

%A _Clark Kimberling_, Oct 18 2014