A003367 Numbers that are the sum of 11 positive 6th powers.
11, 74, 137, 200, 263, 326, 389, 452, 515, 578, 641, 704, 739, 802, 865, 928, 991, 1054, 1117, 1180, 1243, 1306, 1369, 1467, 1530, 1593, 1656, 1719, 1782, 1845, 1908, 1971, 2034, 2195, 2258, 2321, 2384
Offset: 1
Keywords
Examples
From _David A. Corneth_, Aug 03 2020: (Start) 90416 is in the sequence as 90416 = 1^6 + 1^6 + 1^6 + 4^6 + 4^6 + 4^6 + 5^6 + 5^6 + 5^6 + 5^6 + 5^6. 126122 is in the sequence as 126122 = 1^6 + 1^6 + 1^6 + 3^6 + 3^6 + 3^6 + 3^6 + 3^6 + 3^6 + 4^6 + 7^6. 142957 is in the sequence as 142957 = 1^6 + 1^6 + 1^6 + 3^6 + 4^6 + 4^6 + 4^6 + 4^6 + 4^6 + 4^6 + 7^6. (End)
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)
Programs
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Mathematica
upto=2600;With[{max=Ceiling[Power[upto, (6)^-1]]}, Select[Union[ Total/@ Tuples[ Range[max]^6,11]],#<=upto&]] (* Harvey P. Dale, Aug 12 2011 *)