login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A085602 Numbers of the form (2n+1)^(2n+1) + 1. 1
2, 28, 3126, 823544, 387420490, 285311670612, 302875106592254, 437893890380859376, 827240261886336764178, 1978419655660313589123980 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

These numbers cannot be a perfect square. Moreover, x^x + 1 <> k^x for if it were, we would have a a counter-example to Fermat's Last Theorem.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..193

FORMULA

Also even Sierpinski numbers of the first kind.

MATHEMATICA

#^#+1&/@Range[1, 21, 2] (* Harvey P. Dale, Dec 08 2012 *)

PROG

(PARI) forstep(x=1, 20, 2, print1(x^x+1" "))

CROSSREFS

Cf. A014566.

Sequence in context: A230700 A168554 A152792 * A058502 A080266 A308757

Adjacent sequences:  A085599 A085600 A085601 * A085603 A085604 A085605

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard, Jul 07 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 21 16:04 EDT 2019. Contains 328301 sequences. (Running on oeis4.)