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A373022
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Decimal expansion of Sum_{k>=0} sin(2k*Pi/5)/2^k.
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1
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5, 0, 5, 3, 5, 2, 6, 5, 2, 8, 1, 6, 1, 9, 4, 9, 2, 0, 2, 0, 3, 3, 8, 6, 2, 7, 3, 7, 3, 7, 6, 6, 5, 8, 4, 1, 3, 5, 7, 1, 0, 9, 3, 7, 5, 1, 0, 7, 5, 1, 8, 9, 3, 8, 0, 1, 7, 7, 8, 6, 0, 9, 5, 0, 0, 1, 6, 5, 3, 4, 9, 2, 8, 3, 3, 6, 1, 6, 6, 7, 2, 7, 1, 2, 8, 1
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals sqrt((5 + sqrt(5)]/(12 - 2 sqrt(5)).
Equals (-1)*Sum_{k>=0} sin(8 k*Pi/5)/2^k.
Minimal polynomial: 5 - 265 x^2 + 961 x^4.
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EXAMPLE
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0.505352652816194920203386273737665...
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MATHEMATICA
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{b, m, h} = {2, 5, 2}; s = Sum[Sin[ h k Pi/m]/b^k, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d], 100]
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CROSSREFS
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Cf. A373021 (includes guide to related sequences).
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KEYWORD
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AUTHOR
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STATUS
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approved
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