A085559 Smallest number expressible as the sum of three 4th powers in at least n ways.

1, 2673, 811538, 5978882, 137149922, 292965218, 779888018, 5745705602, 49511121842, 49511121842, 281539574498, 281539574498, 7865870969138, 7865870969138, 7865870969138, 7865870969138, 47580188090162

Offset

1,2

Comments

The 4th powers used to sum to the numbers in this sequence include some zero terms. Hardy and Wright prove that the sequence is infinite.

References

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th Ed (1979) p. 330.

Links

Table of n, a(n) for n=1..17.

Example

811538 = 29^4 + 17^4 + 12^4 = 28^4 + 21^4 + 7^4 = 27^4 + 23^4 + 4^4.

Crossrefs

Cf. A011541, A123075.

Sequence in context: A309762 A344192 A345896 * A123075 A112138 A345560

Adjacent sequences: A085556 A085557 A085558 * A085560 A085561 A085562

Keyword

nonn

Author

Stuart Gascoigne (stuart.g(AT)scoigne.com), Jul 04 2003

Status

approved