OFFSET
1,2
COMMENTS
From Peter Munn, Aug 02 2023: (Start)
67898771 = A001661(5) 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(35) = 7809 = A364637(5).
If we tightened the sequence requirement so that the sum was of more than one 5th power, we would remove exactly 24 5th powers from the terms: row 5 of A332065 indicates which 5th powers would remain.
(End)
LINKS
Robert Israel, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (2,-1).
FORMULA
For n > 53986089, a(n) = n + 13912682. [Charles R Greathouse IV, Sep 02 2011]
MAPLE
N:= 2*10^4: # to get all terms <= N
S:= {0}:
for i from 1 while i^5 <= N do
S:= select(`<=`, map(`+`, S, i^5), N) union S
od:
sort(convert(S minus {0}, list)); # Robert Israel, Jun 26 2019
PROG
(PARI) upto(lim)={
lim\=1;
my(v=List(), P=prod(n=1, lim^(1/5), 1+x^(n^5), 1+O(x^(lim+1))));
for(n=1, lim, if(polcoeff(P, n), listput(v, n)));
Vec(v)
}; \\ Charles R Greathouse IV, Sep 02 2011
CROSSREFS
KEYWORD
nonn
AUTHOR
Charles R Greathouse IV, Sep 02 2011
EXTENSIONS
Name qualified by Peter Munn, Aug 02 2023
STATUS
approved