A248949 Decimal expansion of sum_{n >= 1} (sin(2/n))^2.
3, 0, 1, 3, 6, 5, 8, 0, 2, 5, 8, 1, 0, 0, 5, 9, 1, 7, 6, 2, 1, 0, 1, 9, 5, 5, 8, 1, 9, 5, 4, 8, 2, 7, 0, 2, 2, 4, 0, 7, 5, 4, 4, 2, 5, 6, 7, 1, 3, 4, 9, 0, 3, 9, 9, 8, 8, 8, 3, 6, 7, 2, 9, 6, 4, 2, 8, 1, 4, 4, 9, 2, 8, 3, 5, 0, 0, 1, 1, 3, 3, 5, 2, 0, 9, 1, 8, 0, 5, 4, 1, 0, 4, 7, 4, 2, 1, 8, 8, 9, 7, 7, 5, 2, 3
Offset: 1
Examples
3.0136580258100591762101955819548270224075442567134903998883672964281449...
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 1..500
Programs
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Maple
evalf(sum((sin(2/n))^2, n=1..infinity), 120); # Vaclav Kotesovec, Oct 20 2014
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Mathematica
(* N[Sum[Sin[2/n]^2, {n, 1, Infinity}], 120], yields only 25 correct decimals *)
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PARI
default(realprecision,120); sumpos(n=1,(sin(2/n))^2) \\ Vaclav Kotesovec, Oct 20 2014