A004807 Numbers that are the sum of 7 positive 10th powers.
7, 1030, 2053, 3076, 4099, 5122, 6145, 7168, 59055, 60078, 61101, 62124, 63147, 64170, 65193, 118103, 119126, 120149, 121172, 122195, 123218, 177151, 178174, 179197, 180220, 181243, 236199, 237222, 238245, 239268, 295247, 296270, 297293, 354295, 355318, 413343, 1048582
Offset: 1
Examples
From _David A. Corneth_, Aug 03 2020: (Start) 1129904068 is in the sequence as 1129904068 = 2^10 + 2^10 + 2^10 + 7^10 + 7^10 + 7^10 + 7^10. 1357385795 is in the sequence as 1357385795 = 2^10 + 2^10 + 3^10 + 3^10 + 4^10 + 7^10 + 8^10. 3831882028 is in the sequence as 3831882028 = 1^10 + 3^10 + 4^10 + 4^10 + 6^10 + 7^10 + 9^10. (End)
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)
Crossrefs
Cf. A008454 (tenth powers).
Programs
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Mathematica
k = 7; p = 10; amax = 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 *)