A254326 X value for the "least" solution (X,Y,Z) to X^3 + Y^3 = A020898(n)*Z^3, X <= Y.

1, 17, 4, 1, 19, 2, 397

Offset

1,2

Comments

The Y values, sup norms of the solution vector (X,Y,Z), are given in A254324.

Links

Table of n, a(n) for n=1..7.

Example

A020898(1)=2: 1^3 + 1^3 = 2*1^3,
A020898(2)=6: 17^3 + 37^3 = 6*21^3,
A020898(3)=7: 4^3 + 5^3 = 7*3^3,
A020898(4)=9: 1^3 + 2^3 = 9*1^3,
A020898(5)=12: 19^3 + 89^3 = 12*39^3,
A020898(6)=13: 2^3 + 7^3 = 13*3^3,
A020898(7)=15: 397^3 + 683^3 = 15*294^3, ...
For n >=9 the smallest solutions are: 3^3 + 5^3 = 19*2^3, 1^3 + 19^3 = 20*7^3, ?, 53^3 + 75^3 = 26*28^3, 1^3 + 3^3 = 28*1^3, 107^3 + 163^3 = 30*57^3, ?, 523^3 + 1853^3 = 33*582^3, ?, 2^3 + 3^3 = 35*1^3, 18^3 + 19^3 = 37*7^3, ?, 1^3 + 7^3 = 43*2^3, ...

Crossrefs

Sequence in context: A212602 A174380 A040278 * A040279 A070718 A040277

Adjacent sequences: A254323 A254324 A254325 * A254327 A254328 A254329

Keyword

nonn,more

Author

M. F. Hasler, Jan 28 2015

Status

approved