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A094755 Least integer value of (1 + 2^n + 3^n + ... + k^n)/{1 + 2 + 3 + ... + k), k > 1. 1
1, 3, 3, 167, 11, 489, 43, 282407, 171, 110865, 683, 3710553451913, 2731, 27323481, 10923, 1293248801687, 43691, 6910715937, 174763, 2983746256027727, 699051, 1762357129833, 2796203, 734630194457006903941170593, 11184811 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..25.

EXAMPLE

a(4) = (1^4 + 2^4 + 3^4 + 4^4 + 5^4 + 6^4 + 7^4)/(1+2+3+4+5+6+7) = 4676/28 = 167, k = 7.

a(5) = (1^5 + 2^5)/(1 + 2) = 11, k = 2.

MATHEMATICA

f[n_] := Block[{k = 2}, While[s = 2Sum[i^n, {i, k}]/(k(k + 1)); !IntegerQ[s], k++ ]; s]; Table[ f[n], {n, 25}] (* (Robert G. Wilson v_, Jun 02 2004 *)

CROSSREFS

Cf. A094756.

Sequence in context: A230646 A006845 A071536 * A152418 A273925 A113457

Adjacent sequences:  A094752 A094753 A094754 * A094756 A094757 A094758

KEYWORD

nonn

AUTHOR

Amarnath Murthy, May 29 2004

EXTENSIONS

Edited and extended by Robert G. Wilson v, Jun 02 2004

STATUS

approved

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Last modified September 25 18:20 EDT 2017. Contains 292499 sequences.