A173468 Sum n^k, k=0..n+1.

3, 15, 121, 1365, 19531, 335923, 6725601, 153391689, 3922632451, 111111111111, 3452271214393, 116719860413533, 4265491084507563, 167534872139182395, 7037580381120954241, 314824432191309680913, 14942027230321957802947

Offset

1,1

Comments

1^0+1^1+1^2=3, 2^0+2^1+2^2+2^3=15, 3^0+3^1+3^2+3^3+3^4=121,..

Links

Robert Israel, Table of n, a(n) for n = 1..385

Formula

a(n) = (n^(n+2)-1)/(n-1) for n > 1. - Robert Israel, Sep 26 2016

Maple

3, seq((n^(n+2)-1)/(n-1), n=2..20); # Robert Israel, Sep 26 2016

Mathematica

f[n_]:=Module[{s=0}, Do[s+=n^a, {a, 0, n+1}]; s]; lst={}; Do[AppendTo[lst, f[n]], {n, 30}]; lst
Table[Sum[n^k, {k, 0, n+1}], {n, 20}] (* Harvey P. Dale, Jan 04 2012 *)

Crossrefs

Cf. A031973

Sequence in context: A107869 A156360 A160884 * A197505 A348903 A191371

Adjacent sequences: A173465 A173466 A173467 * A173469 A173470 A173471

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Feb 18 2010

Status

approved