A155468 Numbers that are sums of 8th powers of 2 distinct positive integers.

257, 6562, 6817, 65537, 65792, 72097, 390626, 390881, 397186, 456161, 1679617, 1679872, 1686177, 1745152, 2070241, 5764802, 5765057, 5771362, 5830337, 6155426, 7444417, 16777217, 16777472, 16783777, 16842752, 17167841, 18456832, 22542017, 43046722, 43046977, 43053282

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Example

1^8 + 2^8 = 257, 1^8 + 3^8 = 6562, 2^8 + 3^8 = 6817, ...

Mathematica

lst={}; e=8; Do[Do[x=a^e; Do[y=b^e; If[x+y==n, Print[n, ", ", Date[]]; AppendTo[lst, n]], {b, Floor[(n-x)^(1/e)], a+1, -1}], {a, Floor[n^(1/e)], 1, -1}], {n, 4*8!}]; lst

Prog

(PARI) list(lim)=my(v=List(), t); lim\=1; for(m=2, sqrtnint(lim-1, 8), t=m^8; for(n=1, min(sqrtnint(lim-t, 8), m-1), listput(v, t+n^8))); Set(v) \\ Charles R Greathouse IV, Nov 05 2017

Crossrefs

Cf. A003380, A088719 (distinct 7th), A088677 (distinct 6th), A088703, A088687, A024670 (distinct 3rd), A004431 (distinct 2nd).

Sequence in context: A125648 A353941 A351271 * A321564 A034682 A351303

Adjacent sequences: A155465 A155466 A155467 * A155469 A155470 A155471

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 23 2009

Extensions

8 more terms. - R. J. Mathar, Sep 07 2017

More terms from Chai Wah Wu, Nov 05 2017

Status

approved