A343078 a(n) is the smallest number that is the sum of n positive 5th powers in two ways.

1375298099, 51445, 4097, 4098, 4099, 4100, 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109, 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118, 4119, 4120, 4121, 4122, 4123, 4124, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067

Offset

3,1

Comments

This is r(n,5,2) in Alter's notation.

Links

Table of n, a(n) for n=3..44.

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 4, page 190.

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

Formula

a(n) = n + 1023 for n >= 33.

Example

a(3) = 1375298099 = 3^5 + 54^5 + 62^5 = 24^5 + 28^5 + 67^5.
a(4) = 51445 = 4^5 + 7^5 + 7^5 + 7^5 = 5^5 + 6^5 + 6^5 + 8^5.

Crossrefs

Cf. A230563, A342902, A343077, A343079, A343083.

Sequence in context: A251358 A346959 A068746 * A345010 A338516 A091443

Adjacent sequences: A343075 A343076 A343077 * A343079 A343080 A343081

Keyword

nonn

Author

Sean A. Irvine, Apr 04 2021

Status

approved