

A003633


The sequence 2^(1n)*a(n) is fixed (up to signs) by Stirling2 transform.
(Formerly M3670)


174



1, 1, 1, 4, 38, 78, 5246, 11680, 2066056, 22308440, 1898577048, 48769559680, 3518093351728, 174500124820560, 11809059761527536, 1021558531563834368, 66133927485154902144, 9433326815405995274624, 578173001867228425792384
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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..19.
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226228 (1995), 5772; erratum 320 (2000), 210. [Link to arXiv version]
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226228 (1995), 5772; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
N. J. A. Sloane, Transforms


FORMULA

The e.g.f. for the latter sequence satisfies A(x) + A(e^x  1 ) = 2.


EXAMPLE

The sequence that is fixed up to signs by STIRLING2 is 1, 1/2, 1/4, 4/8, 38/16, 78/32, 5246/64, ...


CROSSREFS

Sequence in context: A121672 A020205 A265437 * A129310 A152110 A209486
Adjacent sequences: A003630 A003631 A003632 * A003634 A003635 A003636


KEYWORD

sign,eigen


AUTHOR

N. J. A. Sloane, Mira Bernstein


EXTENSIONS

More terms from Vladeta Jovovic, Jul 12 2001


STATUS

approved



