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

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

Author

N. J. A. Sloane, Mira Bernstein

Keywords

• sign

References

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

Links

• Index entries for reversions of series

Crossrefs

Cf. A000111.

Programs

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

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