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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A175771 a(n) = ((n^2 + 1)^n - 1)/n^3. 1
1, 3, 37, 1305, 95051, 11878363, 2277696793, 622353150177, 229930796172439, 110462212541120451, 66954547910007962117, 49988751334503886046233, 45082285083777592171142467, 48321795074001873489007405947 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If we consider the general case ((n^(p-1) + 1)^n - 1)/n^p, we obtain this sequence for p=3, the sequence A060073 for p = 2, and the sequence A000051 for n = 2 and p = 2,3,...

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

EXAMPLE

a(3) = ((3^2 + 1)^3 - 1)/3^3 = 999/27 = 37.

MAPLE

seq(((n^2 + 1)^n - 1)/n^3, n=1..10) ;

MATHEMATICA

Table[((n^2 + 1)^n - 1)/n^3, {n, 1, 20}] (* G. C. Greubel, Nov 11 2018 *)

PROG

(MAGMA) [((n^2 + 1)^n - 1)/n^3 : n in [1..20]]; // Vincenzo Librandi, Sep 01 2011

(PARI) vector(20, n, ((n^2 + 1)^n - 1)/n^3) \\ G. C. Greubel, Nov 11 2018

CROSSREFS

Cf. A060073, A000051.

Sequence in context: A128083 A270751 A270584 * A220628 A261594 A132931

Adjacent sequences:  A175768 A175769 A175770 * A175772 A175773 A175774

KEYWORD

nonn,easy

AUTHOR

Michel Lagneau, Sep 01 2010

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 April 25 16:08 EDT 2019. Contains 322461 sequences. (Running on oeis4.)