The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A088677

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A088677

Numbers that can be represented as j^6 + k^6, with 0 < j < k, in exactly one way.
(history; published version)

#20 by R. J. Mathar at Fri Oct 09 09:54:38 EDT 2020

STATUS

editing

approved

#19 by R. J. Mathar at Fri Oct 09 09:54:25 EDT 2020

CROSSREFS

Cf. A003358, A088719 (7th powers).

STATUS

approved

editing

#18 by N. J. A. Sloane at Thu Oct 19 03:14:25 EDT 2017

EXTENSIONS

Edited by _Don Reble (djr(AT)nk.ca), _, May 03 2006

Discussion

Thu Oct 19

03:14

OEIS Server: https://oeis.org/edit/global/2703

#17 by Alois P. Heinz at Thu Jun 11 08:23:07 EDT 2015

STATUS

proposed

approved

#16 by Michel Marcus at Thu Jun 11 06:27:02 EDT 2015

STATUS

editing

proposed

#15 by Michel Marcus at Thu Jun 11 06:26:55 EDT 2015

REFERENCES

Ekl, R. L. "New Results in Equal Sums of Like Powers." Math. Comput. 67, 1309-1315, 1998.

LINKS

R. L. Ekl, <a href="http://dx.doi.org/10.1090/S0025-5718-98-00979-X">New Results in Equal Sums of Like Powers</a>, Math. Comput. 67, 1309-1315, 1998.

STATUS

approved

editing

#14 by N. J. A. Sloane at Fri Jan 16 19:01:36 EST 2015

STATUS

proposed

approved

#13 by Jon E. Schoenfield at Fri Jan 16 18:52:43 EST 2015

STATUS

editing

proposed

#12 by Jon E. Schoenfield at Fri Jan 16 18:52:18 EST 2015

EXAMPLE

65 = 1^6 + 2^6.

Discussion

Fri Jan 16

18:52

Jon E. Schoenfield: To preserve the variable "a" for its special use in the OEIS ... is this a good change or not?

#11 by Jon E. Schoenfield at Fri Jan 16 18:52:06 EST 2015

NAME

Numbers that can be represented as aj^6 +b k^6, with 0 <a j <b, k, in exactly one way.

COMMENTS

Conjecture: no number can be expressed as such a sum in more than one way.

MATHEMATICA

lst={}; e=6; Do[Do[x=a^e; Do[y=b^e; If[x+y==n, AppendTo[lst, n]], {b, Floor[(n-x)^(1/e)], a+1, -1}], {a, Floor[n^(1/e)], 1, -1}], {n, 2*8!}]; lst [From _(* _Vladimir Joseph Stephan Orlovsky_, Jan 22 2009] *)

STATUS

approved

editing