A003366 Numbers that are the sum of 10 positive 6th powers.

10, 73, 136, 199, 262, 325, 388, 451, 514, 577, 640, 738, 801, 864, 927, 990, 1053, 1116, 1179, 1242, 1305, 1466, 1529, 1592, 1655, 1718, 1781, 1844, 1907, 1970, 2194, 2257, 2320, 2383, 2446, 2509, 2572, 2635, 2922, 2985, 3048, 3111, 3174, 3237, 3300, 3650, 3713, 3776

Offset

1,1

Links

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

Example

From David A. Corneth, Aug 03 2020: (Start)
98143 is in the sequence as 98143 = 1^6 + 1^6 + 1^6 + 1^6 + 1^6 + 1^6 + 3^6 + 4^6 + 6^6 + 6^6.
145526 is in the sequence as 145526 = 1^6 + 1^6 + 1^6 + 1^6 + 3^6 + 3^6 + 4^6 + 6^6 + 6^6 + 6^6.
173624 is in the sequence as 173624 = 3^6 + 3^6 + 3^6 + 5^6 + 5^6 + 5^6 + 5^6 + 5^6 + 6^6 + 6^6. (End)

Mathematica

With[{nn=3}, Select[Total/@Tuples[Range[nn]^6, 10]//Union, #<=(nn+1)^6+9&]] (* Harvey P. Dale, Dec 17 2019 *)

Crossrefs

Cf. A001014 (sixth powers).

Sequence in context: A223120 A240275 A181402 * A161743 A016211 A055424

Adjacent sequences: A003363 A003364 A003365 * A003367 A003368 A003369

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved