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 A292791 The numerator of the real part of E(2n-1, i), where E(n, x) is the Euler polynomial. 2
 -1, 7, -11, 199, -361, 8017, -63311, 10775663, -37120861, 2572609327, -54738555011, 11225458402189, -170606509547761, 24269619087650437, -998364772178081111, 1505193846304099711711, -10065529459831250937061, 2427246234079407797537347, -163790353311268893725697611 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The imaginary part is +-i. The denominators are powers of two; A171977(n) = 2^A001511(n). For E(2n, i) see A292792. a(4n) == +-1 (mod 6), a(4n+1) == 5 (mod 6), a(4n+2) == 1 (mod 6), a(4n+3) == 1 (mod 6). Inspired by A291897. LINKS Robert G. Wilson v, Table of n, a(n) for n = 1..276 EXAMPLE a(3) = -11 since E(5, i) = -11/2 + i. MATHEMATICA f[n_] := Numerator[ EulerE[2n -1, I] - I^(2n -1)]; Array[f, 19] CROSSREFS Cf. A292792. Sequence in context: A154303 A128340 A106716 * A106818 A231329 A322950 Adjacent sequences:  A292788 A292789 A292790 * A292792 A292793 A292794 KEYWORD sign AUTHOR Robert G. Wilson v, Sep 23 2017 STATUS approved

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Last modified September 27 07:28 EDT 2021. Contains 347673 sequences. (Running on oeis4.)