A003363 Numbers that are the sum of 7 positive 6th powers.

7, 70, 133, 196, 259, 322, 385, 448, 735, 798, 861, 924, 987, 1050, 1113, 1463, 1526, 1589, 1652, 1715, 1778, 2191, 2254, 2317, 2380, 2443, 2919, 2982, 3045, 3108, 3647, 3710, 3773, 4102, 4165, 4228, 4291, 4354, 4375, 4417, 4438, 4480, 4830, 4893, 4956, 5019, 5082

Offset

1,1

Links

David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)

Formula

a(n) == 0 (mod 7). - Joerg Arndt, Nov 08 2022

Example

From David A. Corneth, Aug 03 2020: (Start)
267342 is in the sequence as 267342 = 1^6 + 2^6 + 3^6 + 5^6 + 5^6 + 7^6 + 7^6.
594482 is in the sequence as 594482 = 1^6 + 4^6 + 4^6 + 4^6 + 4^6 + 6^6 + 9^6.
696667 is in the sequence as 696667 = 2^6 + 2^6 + 2^6 + 3^6 + 6^6 + 7^6 + 9^6. (End)

Mathematica

Reap[For[n = 1, n <= 5000, n++, If[AnyTrue[PowersRepresentations[n, 7, 6], First[#] > 0&], Print[n]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Jul 18 2017 *)

Crossrefs

Cf. A001014 (sixth powers).

Sequence in context: A136959 A136952 A136960 * A069542 A063416 A201065

Adjacent sequences: A003360 A003361 A003362 * A003364 A003365 A003366

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved