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A096141 a(n) = sum of n n-th powers starting from n^n. 1
1, 13, 216, 4578, 119525, 3729451, 135771160, 5658574916, 265921407297, 13918657338925, 803220053336096, 50674352524725590, 3470170166345203477, 256369124879898560271, 20325382637400264402000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

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

EXAMPLE

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

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A031971.

Sequence in context: A132542 A069989 A140517 * A218475 A294982 A320627

Adjacent sequences: A096138 A096139 A096140 * A096142 A096143 A096144

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jul 16 2004

EXTENSIONS

Extended by Ray Chandler, Jul 17 2004

STATUS

approved

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Last modified December 3 13:06 EST 2022. Contains 358524 sequences. (Running on oeis4.)