A248946 Decimal expansion of sum_{n >= 1} sin(1/n^2).
1, 4, 8, 3, 5, 2, 2, 8, 1, 7, 3, 0, 9, 5, 5, 2, 2, 8, 6, 4, 1, 9, 2, 9, 9, 1, 8, 6, 3, 6, 1, 8, 8, 4, 2, 2, 2, 1, 9, 8, 9, 6, 6, 3, 1, 3, 7, 1, 5, 1, 6, 4, 0, 2, 6, 1, 7, 0, 8, 8, 5, 5, 9, 5, 6, 8, 8, 5, 9, 5, 0, 5, 0, 7, 7, 6, 1, 7, 0, 2, 1, 2, 2, 9, 4, 2, 5, 6, 7, 3, 3, 6, 1, 8, 2, 2, 7, 9, 2, 7, 4, 7, 5, 7, 4
Offset: 1
Examples
1.483522817309552286419299186361884222198966313715164026170885595688595...
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 1..500
Programs
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Maple
evalf(sum(sin(1/n^2), n=1..infinity), 120); # Vaclav Kotesovec, Oct 20 2014
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Mathematica
(* N[Sum[Sin[1/n^2], {n, 1, Infinity}], 120], yields only 26 correct decimals *)
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PARI
default(realprecision,120); sumpos(n=1,sin(1/n^2)) \\ Vaclav Kotesovec, Oct 20 2014