A175771 a(n) = ((n^2 + 1)^n - 1)/n^3.

1, 3, 37, 1305, 95051, 11878363, 2277696793, 622353150177, 229930796172439, 110462212541120451, 66954547910007962117, 49988751334503886046233, 45082285083777592171142467, 48321795074001873489007405947

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 * A368775 A220628 A261594

Adjacent sequences: A175768 A175769 A175770 * A175772 A175773 A175774

Keyword

nonn,easy

Author

Michel Lagneau, Sep 01 2010

Status

approved