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

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

3,1

Comments

This is r(n,6,2) in Alter's notation.

Alter paper has a typographical error a(3)=106426514.

Links

Table of n, a(n) for n=3..65.

R. Alter, Computations and generalizations on a remark of Ramanujan, pp. 182-196 of "Analytic Number Theory (Philadelphia, 1980)", ed. M. I. Knopp, Lect. Notes Math., Vol. 899, 1981. See Table 5, page 191.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

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

Example

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.

Crossrefs

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

Sequence in context: A118078 A365019 A151695 * A116643 A162839 A251473

Adjacent sequences: A343076 A343077 A343078 * A343080 A343081 A343082

Keyword

nonn

Author

Sean A. Irvine, Apr 04 2021

Status

approved