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A007316 Reversion of g.f. for Euler numbers A000111(n-1).
(Formerly M0895)
0

%I M0895 #26 Oct 05 2022 04:58:43

%S 1,-1,1,-2,3,-9,9,-71,-96,-1325,-6843,-54922,-417975,-3586117,

%T -32531983,-316599861,-3274076017,-35914014266,-416386323306,

%U -5088908019824,-65392831090975,-881473287321301,-12437647407521019,-183345613125389337

%N Reversion of g.f. for Euler numbers A000111(n-1).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H <a href="/index/Res#revert">Index entries for reversions of series</a>

%p # Using function CompInv from A357588.

%p CompInv(24, n -> if n=1 then 1 else 2^(n-1)*abs(euler(n-1, 1/2) + euler(n-1, 1)) fi); # _Peter Luschny_, Oct 05 2022

%Y Cf. A000111.

%K sign

%O 1,4

%A _N. J. A. Sloane_, _Mira Bernstein_

%E Extended with signs by _Christian G. Bower_, Feb 15 1999

%E Signs and a(23) and a(24) corrected by _Sean A. Irvine_, Dec 08 2017

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Last modified April 19 23:40 EDT 2024. Contains 371798 sequences. (Running on oeis4.)