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
Examples
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)
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)
Crossrefs
Cf. A001014 (sixth powers).
Programs
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Mathematica
With[{nn=3},Select[Total/@Tuples[Range[nn]^6,10]//Union,#<=(nn+1)^6+9&]] (* Harvey P. Dale, Dec 17 2019 *)