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A003999 Sum of distinct nonzero 4th powers. 2
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; text; internal format)
OFFSET

1,2

COMMENTS

5134240 is the largest positive integer not in this sequence - Jud McCranie

REFERENCES

The Penguin Dictionary of Curious and Interesting Numbers, David Wells, entry 5134240.

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

For n > 4244664, a(n) = n + 889576. [Charles R Greathouse IV, Sep 02 2011]

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)

MATHEMATICA

max = 2000; f[x_] := Product[1 + x^(k^4), {k, 1, 10}]; Exponent[#, x]& /@ List @@ Normal[Series[f[x], {x, 0, max}]] // Rest (* Jean-Fran├žois Alcover, Nov 09 2012, after Charles R Greathouse IV *)

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

CROSSREFS

Cf. A046039 (complement).

Sequence in context: A041530 A041528 A112012 * A217844 A041532 A041534

Adjacent sequences:  A003996 A003997 A003998 * A004000 A004001 A004002

KEYWORD

nonn,easy,changed

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 25 11:55 EDT 2017. Contains 288710 sequences.