cp's OEIS Frontend

A301601 Numbers k such that k^6 can be written as a sum of 11 positive 6th powers.

%I A301601 #28 Feb 16 2025 08:33:53
%S A301601 18,19,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
%T A301601 52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
%U A301601 75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93
%N A301601 Numbers k such that k^6 can be written as a sum of 11 positive 6th powers.
%C A301601 If k is in the sequence, then k*m is in the sequence for every positive integer m.
%C A301601 Conjecture: 35 is the largest integer not in the sequence. - _Jon E. Schoenfield_, Mar 24 2018
%H A301601 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DiophantineEquation6thPowers.html">Diophantine Equation 6th Powers.</a>
%e A301601 18^6 = 2^6 + 5^6 + 5^6 +  5^6 +  7^6 +  7^6 +  9^6 +  9^6 + 10^6 + 14^6 + 17^6.
%e A301601 19^6 = 1^6 + 7^6 + 7^6 +  7^6 +  8^6 + 12^6 + 13^6 + 13^6 + 13^6 + 13^6 + 17^6.
%e A301601 30^6 = 1^6 + 2^6 + 7^6 +  7^6 +  9^6 + 12^6 + 17^6 + 17^6 + 19^6 + 23^6 + 28^6.
%e A301601 31^6 = 3^6 + 4^6 + 7^6 +  7^6 + 11^6 + 11^6 + 13^6 + 13^6 + 23^6 + 25^6 + 28^6.
%e A301601 32^6 = 7^6 + 7^6 + 7^6 + 17^6 + 17^6 + 17^6 + 18^6 + 20^6 + 20^6 + 25^6 + 29^6.
%e A301601 33^6 = 1^6 + 4^6 + 4^6 +  6^6 + 10^6 + 14^6 + 20^6 + 20^6 + 24^6 + 28^6 + 28^6.
%e A301601 34^6 = 1^6 + 1^6 + 2^6 +  5^6 +  7^6 +  7^6 + 12^6 + 17^6 + 23^6 + 28^6 + 31^6.
%e A301601 36^6 = 1^6 + 1^6 + 1^6 +  7^6 + 14^6 + 14^6 + 19^6 + 19^6 + 19^6 + 30^6 + 33^6.
%Y A301601 Cf. A003294, A297305.
%K A301601 nonn
%O A301601 1,1
%A A301601 _Seiichi Manyama_, Mar 24 2018
%E A301601 a(9)-a(65) from _Jon E. Schoenfield_, Mar 24 2018