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Search: id:A163747
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| A163747 |
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Real expansion of:f[t]=(1 + I)/(1 + I*Exp[t]) - 1 |
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+0
2
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| 0, -1, -1, 2, 5, -16, -61, 272, 1385, -7936, -50521, 353792, 2702765, -22368256, -199360981, 1903757312, 19391512145, -209865342976, -2404879675441, 29088885112832, 370371188237525, -4951498053124096, -69348874393137901
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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The idea for this expansion comes from:
http://dx.doi.org/10.1126/science.1171769
in which the electron (Lepton) is broken down into two new types of particle called spinons and holons.
The expansion of the Euler number like function gives two sequences
( real and Imaginary) that are symmetrical except for sign.
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REFERENCES
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Source: University of Cambridge (news : web) http://www.physorg.com/news168182729.html
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FORMULA
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Expansion[(1 + I)/(1 + I*Exp[t]) - 1]=a[n]+I*b[n];
Abs[a[n]]=Abs[b[n]]
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MATHEMATICA
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f[t_] = (1 + I)/(1 + I*Exp[t]) - 1 Table[Re[2*n!*SeriesCoefficient[ Series[f[t], {t, 0, 30}], n]], {n, 0, 30}]
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CROSSREFS
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Sequence in context: A104858 A138265 A000111 this_sequence A007976 A058259 A033543
Adjacent sequences: A163744 A163745 A163746 this_sequence A163748 A163749 A163750
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KEYWORD
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sign,uned
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AUTHOR
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Roger L, Bagula (rlbagulatftn(AT)yahoo.com), Aug 03 2009
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