cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A132682 Largest term of solutions to equal sums of 3 sixth powers (cf. A116643).

Original entry on oeis.org

23, 46, 67, 69, 74, 81, 81, 92, 115, 134, 138, 138, 136, 147, 148, 162, 161, 162, 184, 201, 207, 222, 230, 230, 243, 243, 245, 249, 253, 267, 268, 276, 276, 276, 272, 295, 294, 293, 296, 299, 303, 300, 311, 324, 322, 324, 330, 326, 335, 345, 337, 368, 370, 372, 391, 400, 402, 405, 405, 410, 414, 405, 414, 408, 437, 441
Offset: 1

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Author

Randy L. Ekl, Mar 15 2008

Keywords

Comments

308 terms (solutions) known.

Examples

			a(2) = 46, because 46 is the largest term in 46^6 + 30^6 + 20^6 = 44^6 + 38^6 + 6^6.

A343079 a(n) is the smallest number that is the sum of n positive 6th powers in two ways.

Original entry on oeis.org

160426514, 1063010, 1063011, 570947, 570948, 63232, 63233, 52489, 52490, 52491, 16393, 16394, 16395, 16396, 16397, 13122, 13123, 13124, 13125, 13126, 13127, 13128, 13129, 13130, 13131, 13132, 13133, 13134, 13135, 13136, 13137, 13138, 8225, 8226, 8227, 8228, 8229, 6592, 6593, 6594, 6595, 6596, 6597, 6598, 6599, 6600, 6601, 6602, 6603, 6604, 6605, 6606, 6607, 6608, 6609, 6610, 6611, 6612, 6613, 6614, 6615, 6616, 4160
Offset: 3

Views

Author

Sean A. Irvine, Apr 04 2021

Keywords

Comments

This is r(n,6,2) in Alter's notation.
Alter paper has a typographical error a(3)=106426514.

Examples

			a(3) = 160426514 = 3^6 + 19^6 + 22^6 = 10^6 + 15^6 + 23^6.
a(4) = 1063010 = 2^6 + 2^6 + 9^6 + 9^6 = 3^6 + 5^6 + 6^6 + 10^6.

Links

Crossrefs

Cf. A116643, A230563, A342902, A343077, A343078.

Formula

a(n) = n + 4095 for n >= 65.
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