

A194768


Sum of distinct fifth powers.


1



1, 32, 33, 243, 244, 275, 276, 1024, 1025, 1056, 1057, 1267, 1268, 1299, 1300, 3125, 3126, 3157, 3158, 3368, 3369, 3400, 3401, 4149, 4150, 4181, 4182, 4392, 4393, 4424, 4425, 7776, 7777, 7808, 7809, 8019, 8020, 8051, 8052, 8800, 8801, 8832, 8833, 9043, 9044, 9075, 9076
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OFFSET

1,2


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

Cf. A000584 (fifth powers).
Sequence in context: A134844 A151983 A022402 * A217845 A067010 A029925
Adjacent sequences: A194765 A194766 A194767 * A194769 A194770 A194771


KEYWORD

nonn


AUTHOR

Charles R Greathouse IV, Sep 02 2011


STATUS

approved



