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Numbers that are the sum of a nonnegative cube and a fourth power of a nonnegative integer.
1

%I #9 Dec 05 2024 19:14:00

%S 0,1,2,8,9,16,17,24,27,28,43,64,65,80,81,82,89,108,125,126,141,145,

%T 206,216,217,232,256,257,264,283,297,320,343,344,359,381,424,472,512,

%U 513,528,593,599,625,626,633,652,689,729,730,745,750,768,810,841,968,985,1000

%N Numbers that are the sum of a nonnegative cube and a fourth power of a nonnegative integer.

%H Robert Israel, <a href="/A367984/b367984.txt">Table of n, a(n) for n = 1..10000</a>

%p M:= 10000: # for terms <= M

%p Cubes:= {seq(i^3, i=0..floor(M^(1/3)))}:

%p Fourths:= {seq(i^4, i=0..floor(M^(1/4)))}:

%p sort(convert(select(`<=`,{seq(seq(a+b,a=Cubes),b=Fourths)},M),list)); # _Robert Israel_, Dec 05 2024

%Y Cf. A000578, A000583, A022549, A100291.

%K nonn,changed

%O 1,3

%A _Ilya Gutkovskiy_, Dec 07 2023