A088906 Smallest number m>0 having n representations m = x^i + x^j with 1<x<=m and 0<=i<=j.

1, 2, 4, 6, 10, 72, 4097, 8192, 16777217, 33554432, 137438953472, 562949953421312, 1152921504606846977, 2305843009213693952, 1329227995784915874056728564887191552, 22300745198530623141535718272648361505980417

Offset

0,2

Comments

A088904(a(n))=n and A088904(k)<n for 1<=k<a(n).

The values for a(14) and a(15) are not quite proved to be minimal. For 14 (resp. 15) I have checked all numbers that have at least one representation with j > 10 (resp. 12). Both of these values are greater than 2^120+1, which has 16 representations. - David Wasserman, Sep 09 2005

Links

Table of n, a(n) for n=0..15.

Crossrefs

Sequence in context: A058960 A036053 A237816 * A303752 A304532 A345091

Adjacent sequences: A088903 A088904 A088905 * A088907 A088908 A088909

Keyword

nonn

Author

Entry completely revised by Hugo Pfoertner and Reinhard Zumkeller, Oct 20 2004

Extensions

Two more terms from Hugo Pfoertner, Oct 12 2004

a(9) - a(15) from David Wasserman, Sep 09 2005

Status

approved