A004808 Numbers that are the sum of 8 positive 10th powers.
8, 1031, 2054, 3077, 4100, 5123, 6146, 7169, 8192, 59056, 60079, 61102, 62125, 63148, 64171, 65194, 66217, 118104, 119127, 120150, 121173, 122196, 123219, 124242, 177152, 178175, 179198, 180221, 181244, 182267, 236200, 237223, 238246, 239269, 240292, 295248, 296271, 297294
Offset: 1
Examples
1031 = 2^10 + 7 * 1^10 is a term. From _David A. Corneth_, Aug 04 2020: (Start) 283583902 is in the sequence as 283583902 = 1^10 + 1^10 + 1^10 + 1^10 + 2^10 + 3^10 + 4^10 + 7^10. 493229701 is in the sequence as 493229701 = 3^10 + 5^10 + 5^10 + 5^10 + 6^10 + 6^10 + 6^10 + 7^10. 1256366075 is in the sequence as 1256366075 = 3^10 + 3^10 + 3^10 + 4^10 + 6^10 + 6^10 + 6^10 + 8^10. (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 = 8; 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 *)