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A003999
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Sum of distinct nonzero 4th powers.
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2
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1, 16, 17, 81, 82, 97, 98, 256, 257, 272, 273, 337, 338, 353, 354, 625, 626, 641, 642, 706, 707, 722, 723, 881, 882, 897, 898, 962, 963, 978, 979, 1296, 1297, 1312, 1313, 1377, 1378, 1393, 1394, 1552, 1553, 1568, 1569, 1633, 1634, 1649, 1650, 1921, 1922
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| The Penguin Dictionary of Curious and Interesting Numbers, David Wells, entry 5134240.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,-1).
Donovan Johnson, Table of n, a(n) for n = 1..10000
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FORMULA
| For n > 4244664, a(n) = n + 889576. [Charles R Greathouse IV, Sep 02 2011]
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MAPLE
| (1+x)*(1+x^16)*(1+x^81)*(1+x^256)*(1+x^625)*(1+x^1296)*(1+x^2401)*(1+x^4096)*(1+x^6561)*(1+x^10000)
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PROG
| (PARI) upto(lim)={
lim\=1;
my(v=List(), P=prod(n=1, lim^(1/4), 1+x^(n^4), 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
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CROSSREFS
| Sequence in context: A041530 A041528 A112012 * A041532 A041534 A041536
Adjacent sequences: A003996 A003997 A003998 * A004000 A004001 A004002
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| 5134240 is the largest positive integer not in this sequence - Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu)
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