A219921 Numbers expressible as the sum of four nonnegative fourth-powers in four different ways.

236674, 260658, 282018, 300834, 334818, 478338, 637794, 650034, 650658, 671778, 708483, 708834, 729938, 789378, 811538, 816578, 832274, 849954, 941859, 989043, 1042083, 1045539, 1099203, 1099458, 1102258, 1179378, 1243074, 1257954, 1283874, 1323234, 1334979

Offset: 1

Author

Kevin L. Schwartz and Christian N. K. Anderson, Apr 12 2013

Keywords

• nonn

Comments

A natural extension of the two-sets-of-two-cubes taxi-cab numbers (A001235).

a(4) is the first number which contains distinct fourth-powers in all four sets of four, and is therefore also A146756(4).

Examples

			a(1) = 236674 = 1^4+2^4+7^4+22^4 = 3^4+6^4+18^4+19^4 = 7^4+14^4+16^4+19^4 = 8^4+16^4+17^4+17^4.
		

Links

• Christian N. K. Anderson, Table of n, a(n) for n = 1..1000
• Christian N. K. Anderson, Decomposition of the first 1000 terms into four sets of four fourth powers.

Crossrefs

Other sums of four fourth powers: A176197, A133526.

Cf. A146756, A230477.

Cf. A001235, A011541.