OFFSET
1,2
COMMENTS
The sequence is finite, with last term a(92) = 321.
LINKS
M. F. Hasler, Table of n, a(n) for n = 1..92 (full sequence).
Brennan Benfield and Oliver Lippard, Integers that are not the sum of positive powers, arXiv:2404.08193 [math.NT], 2024. See p. 4.
EXAMPLE
The smallest positive numbers not in the sequence are:
11 = 11 * 1^3, 18 = 2^3 + 10 * 1^3, 25 = 2 * 2^3 + 9 * 1^3,
32 = 3 * 2^3 + 8 * 1^3 and then 37 = 3^3 + 10 * 1^3.
The last 23 terms of the sequence (not in the data section) are a(70 .. 92) = {101, 104, 106, 108, 111, 113, 118, 120, 125, 127, 132, 134, 139, 146, 153, 160, 171, 190, 197, 209, 216, 223, 321}.
MATHEMATICA
Select[Range[400], (pr = PowersRepresentations[#, 11, 3][[;; , 1]]) == {} || Max[pr] == 0 &] (* adapted from Amiram Eldar's code for A332110 *)
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
M. F. Hasler, Aug 25 2020
STATUS
approved