A096141 a(n) = sum of n n-th powers starting from n^n.

1, 13, 216, 4578, 119525, 3729451, 135771160, 5658574916, 265921407297, 13918657338925, 803220053336096, 50674352524725590, 3470170166345203477, 256369124879898560271, 20325382637400264402000

Offset: 1

Author

Amarnath Murthy, Jul 16 2004

Keywords

• nonn

Examples

			a(4) = 4^4 +5^4 + 6^4 +7^4 = 4578.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..351

Crossrefs

Cf. A031971.

Programs

Mathematica

Table[Total[Range[n,2n-1]^n],{n,20}] (* Harvey P. Dale, Aug 23 2019 *)

PARI

a(n)=sum(k=n,2*n-1,k^n)

Formula

a(n) = n! * [x^n] exp(n*x)*(exp(n*x) - 1)/(exp(x) - 1). - Ilya Gutkovskiy, Apr 07 2018

Extensions

Extended by Ray Chandler, Jul 17 2004