A155473 Numbers of the form x^3+y^5, with x,y>0 and x<>y.

9, 28, 33, 59, 65, 96, 126, 157, 217, 244, 248, 251, 307, 344, 368, 375, 459, 513, 544, 586, 730, 755, 761, 972, 1001, 1025, 1032, 1032, 1051, 1149, 1240, 1243, 1332, 1363, 1367, 1536, 1574, 1729, 1753, 1760, 1971, 2024, 2198, 2229, 2355, 2440, 2745, 2752

Offset

1,1

Comments

Numbers with more than one of these representations are repeated for each of them.

This concerns 1032 = 2^3+4^5 = 10^3+2^5 or 9504 = 12^3+6^5 = 21^3+3^5, for example (see A035046).

Links

Table of n, a(n) for n=1..48.

Example

59=3^3+2^5, 157=5^3+2^5, 513=8^3+1^5, 586=7^3+3^5, ...

Mathematica

lst={}; Do[Do[Do[If[x!=y, a=x^3+y^5; If[a>n, Break[]]; If[a==n, AppendTo[lst, n]]], {y, 5!}], {x, 5!}], {n, 7!}]; lst

Crossrefs

Cf. A088719, A088677, A088703, A088687, A001235, A024670, A025320, A025319, A025318, A025317, A025316, A025315, A025314, A025313, A024508, A004431, A024507, A155468, A155469, A155470, A155472

Sequence in context: A034116 A031454 A044999 * A127629 A334185 A267686

Adjacent sequences: A155470 A155471 A155472 * A155474 A155475 A155476

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 23 2009

Extensions

Edited by R. J. Mathar, Mar 02 2009

Status

approved