login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A273822 Integers n such that n^3 + 1 is the average of two positive cubes. 2
27, 227, 335, 2387, 9299, 104571, 113519, 118499, 212343, 258999, 328499, 455600, 699891, 820755, 971360, 977051, 1059239, 1119723, 1193631, 1421367, 1604084, 2231999, 2794067, 4191431, 5450948, 6054611, 6769607, 7672391, 7760639, 7875035, 8091615, 9606203, 15511268 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Integers n such that n^3 + 1 is the average of two distinct positive cubes.

LINKS

Table of n, a(n) for n=1..33.

EXAMPLE

27 is a term because 27^3 + 1 = (4^3 + 34^3)/2.

PROG

(PARI) isA003325(n) = for(k=1, sqrtnint(n\2, 3), ispower(n-k^3, 3) && return(1));

lista(nn) = for(n=1, nn, if(isA003325(2*(n^3+1)), print1(n, ", ")));

CROSSREFS

Cf. A001093, A003325.

Sequence in context: A222994 A125364 A126522 * A027500 A069979 A183806

Adjacent sequences:  A273819 A273820 A273821 * A273823 A273824 A273825

KEYWORD

nonn

AUTHOR

Altug Alkan, May 31 2016

EXTENSIONS

a(9)-a(12) from Giovanni Resta, Jun 01 2016

a(13)-a(33) from Chai Wah Wu, Jun 19 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 15 03:00 EDT 2021. Contains 342974 sequences. (Running on oeis4.)