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A292791
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The numerator of the real part of E(2n-1, i), where E(n, x) is the Euler polynomial.
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2
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-1, 7, -11, 199, -361, 8017, -63311, 10775663, -37120861, 2572609327, -54738555011, 11225458402189, -170606509547761, 24269619087650437, -998364772178081111, 1505193846304099711711, -10065529459831250937061, 2427246234079407797537347, -163790353311268893725697611
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OFFSET
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1,2
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COMMENTS
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The imaginary part is +-i.
a(4n) == +-1 (mod 6),
a(4n+1) == 5 (mod 6),
a(4n+2) == 1 (mod 6),
a(4n+3) == 1 (mod 6).
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LINKS
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EXAMPLE
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a(3) = -11 since E(5, i) = -11/2 + i.
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MATHEMATICA
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f[n_] := Numerator[ EulerE[2n -1, I] - I^(2n -1)]; Array[f, 19]
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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