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

Author

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

Keywords

• nonn

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.

Examples

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

References

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

Crossrefs

Cf. A011541, A123075.