

A085333


a(n) is the least nth power of a prime that is the sum of two positive cubes, or 0 if no solution exists (for n=3k).


1



2, 9, 0, 16, 243, 0, 128, 6561, 0, 1024, 177147, 0, 8192, 4782969, 0, 65536, 129140163, 0, 524288, 3486784401, 0, 4194304, 94143178827, 0, 33554432, 2541865828329, 0, 268435456, 68630377364883, 0, 2147483648, 1853020188851841, 0
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OFFSET

1,1


LINKS

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


FORMULA

a(n) is the least solution to p^n=x^3+y^3, x, y>0 or a(n)=a(3k)=0 labels cases if no solution exists.
a(3k)=0, a(3k+1)=2^(3k+1), a(3k+2)=3^(3k+2).
From Chai Wah Wu, May 18 2017: (Start)
a(n) = 35*a(n3)  216*a(n6) for n > 6.
G.f.: x*(72*x^4  54*x^3 + 9*x + 2)/(216*x^6  35*x^3 + 1). (End)


CROSSREFS

Cf. A085332.
Sequence in context: A020817 A245217 A133768 * A248853 A272003 A128892
Adjacent sequences: A085330 A085331 A085332 * A085334 A085335 A085336


KEYWORD

nonn


AUTHOR

Labos Elemer, Jul 07 2003


EXTENSIONS

Formula, corrected description and more terms from Ray Chandler, Jul 20 2003


STATUS

approved



