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A194554
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Decimal expansion of the absolute value of the imaginary part of i^(e^Pi), where i = sqrt(-1).
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2
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9, 7, 5, 6, 7, 8, 8, 4, 7, 8, 0, 3, 6, 6, 9, 3, 8, 5, 6, 4, 3, 4, 6, 8, 9, 6, 6, 0, 5, 5, 4, 2, 3, 1, 1, 0, 5, 2, 2, 9, 4, 6, 9, 7, 1, 6, 4, 8, 1, 0, 8, 5, 3, 7, 6, 8, 8, 7, 2, 0, 2, 6, 5, 0, 3, 7, 8, 0, 6, 6, 8, 4, 2, 2, 9, 8, 4, 5, 8, 4, 4, 2, 7, 9, 4, 9, 0, 8, 2, 6, 2, 6, 7, 2, 7, 4, 4, 1, 3, 2
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OFFSET
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0,1
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COMMENTS
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If Schanuel's Conjecture is true, then i^e^Pi is transcendental (see Marques and Sondow 2010, p. 79).
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LINKS
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EXAMPLE
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i^e^Pi = 0.2192048949... - 0.9756788478...*i
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MATHEMATICA
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RealDigits[Im[I^E^Pi], 10, 100] // First
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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