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

1, -1, 1, -2, 3, -9, 9, -71, -96, -1325, -6843, -54922, -417975, -3586117, -32531983, -316599861, -3274076017, -35914014266, -416386323306, -5088908019824, -65392831090975, -881473287321301, -12437647407521019, -183345613125389337

Offset

1,4

References

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

Links

Table of n, a(n) for n=1..24.

Index entries for reversions of series

Maple

# Using function CompInv from A357588.
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

Crossrefs

Cf. A000111.

Sequence in context: A231365 A024816 A196443 * A163905 A353653 A351650

Adjacent sequences: A007313 A007314 A007315 * A007317 A007318 A007319

Keyword

sign

Author

N. J. A. Sloane, Mira Bernstein

Extensions

Extended with signs by Christian G. Bower, Feb 15 1999

Signs and a(23) and a(24) corrected by Sean A. Irvine, Dec 08 2017

Status

approved