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A367984
Numbers that are the sum of a nonnegative cube and a fourth power of a nonnegative integer.
1
0, 1, 2, 8, 9, 16, 17, 24, 27, 28, 43, 64, 65, 80, 81, 82, 89, 108, 125, 126, 141, 145, 206, 216, 217, 232, 256, 257, 264, 283, 297, 320, 343, 344, 359, 381, 424, 472, 512, 513, 528, 593, 599, 625, 626, 633, 652, 689, 729, 730, 745, 750, 768, 810, 841, 968, 985, 1000
OFFSET
1,3
LINKS
MAPLE
M:= 10000: # for terms <= M
Cubes:= {seq(i^3, i=0..floor(M^(1/3)))}:
Fourths:= {seq(i^4, i=0..floor(M^(1/4)))}:
sort(convert(select(`<=`, {seq(seq(a+b, a=Cubes), b=Fourths)}, M), list)); # Robert Israel, Dec 05 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 07 2023
STATUS
approved