OFFSET
1,2
COMMENTS
See A001661 for a proof of the formula. - M. F. Hasler, May 15 2020
From Peter Munn, Aug 02 2023: (Start)
11146309947 = A001661(6) is the largest number not in the sequence.
After a(1) = 1, the next term that is in all the analogous sequences for smaller powers is a(86) = 134067 = A364637(6).
If we tightened the sequence requirement so that the sum was of more than one 6th power, we would remove exactly 30 6th powers from the terms: row 6 of A332065 indicates which 6th powers would remain.
(End)
LINKS
David A. Corneth, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (2,-1).
FORMULA
For n > 9108736851, a(n) = n + 2037573096.
PROG
(PARI) upto(lim)={
lim\=1;
my(v=List(), P=prod(n=1, lim^(1/6), 1+x^(n^6), 1+O(x^(lim+1))));
for(n=1, lim, if(polcoeff(P, n), listput(v, n)));
Vec(v)
}
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Charles R Greathouse IV, Sep 02 2011
EXTENSIONS
More terms from David A. Corneth, Apr 21 2020
Name qualified by Peter Munn, Aug 02 2023
STATUS
approved