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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 12 17:50 EST 2019. Contains 329960 sequences. (Running on oeis4.)