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

1,1

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).

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.

Example

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.

Crossrefs

Other sums of four fourth powers: A176197, A133526.

Cf. A146756, A230477.

Cf. A001235, A011541.

Sequence in context: A160920 A235105 A205411 * A344352 A344353 A324898

Adjacent sequences: A219918 A219919 A219920 * A219922 A219923 A219924

Keyword

nonn

Author

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

Status

approved