A004806 Numbers that are the sum of 6 positive 10th powers.

6, 1029, 2052, 3075, 4098, 5121, 6144, 59054, 60077, 61100, 62123, 63146, 64169, 118102, 119125, 120148, 121171, 122194, 177150, 178173, 179196, 180219, 236198, 237221, 238244, 295246, 296269, 354294, 1048581, 1049604, 1050627, 1051650, 1052673, 1053696, 1107629, 1108652

Offset

1,1

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

Example

From David A. Corneth, Aug 02 2020: (Start)
3233088249 is in the sequence as 3233088249 = 4^10 + 4^10 + 5^10 + 8^10 + 8^10 + 8^10.
5125476725 is in the sequence as 5125476725 = 1^10 + 1^10 + 7^10 + 7^10 + 8^10 + 9^10.
12440773098 is in the sequence as 12440773098 = 4^10 + 5^10 + 7^10 + 8^10 + 8^10 + 10^10. (End)

Mathematica

k = 6; p = 10; amax = 2*10^6; bmax = amax^(1/p) // Ceiling; Clear[b]; b[0] = 1; Select[Table[Total[Array[b, k]^p], {b[1], b[0], bmax}, Evaluate[ Sequence @@ Table[{b[j], b[j-1], bmax}, {j, 1, k}]]] // Flatten // Union, # <= amax&] (* Jean-François Alcover, Jul 19 2017 *)

Crossrefs

Sequence in context: A203303 A159865 A370680 * A282233 A125536 A003763

Adjacent sequences: A004803 A004804 A004805 * A004807 A004808 A004809

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved