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A003336 Numbers that are the sum of 2 nonzero 4-th powers. 22
2, 17, 32, 82, 97, 162, 257, 272, 337, 512, 626, 641, 706, 881, 1250, 1297, 1312, 1377, 1552, 1921, 2402, 2417, 2482, 2592, 2657, 3026, 3697, 4097, 4112, 4177, 4352, 4721, 4802, 5392, 6497, 6562, 6577, 6642, 6817, 7186, 7857, 8192, 8962, 10001, 10016 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Numbers n such that n = x^4 + y^4 has a solution in positive integers x, y.

REFERENCES

A. Bremner and P. Morton, A new characterization of the integer 5906, Manuscripta Math. 44 (1983) 187-229; Math. Rev. 84i:10016.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

S. R. Finch, On a Generalized Fermat-Wiles Equation

MATHEMATICA

nn=12; Select[Union[Plus@@@(Tuples[Range[nn], {2}]^4)], # <= nn^4&] [From Harvey P. Dale, Dec. 29, 2010]

CROSSREFS

5906 is the first term in A060387 but not in this sequence. Cf. A020897.

Sequence in context: A162622 A078164 A060387 * A178145 A055261 A100294

Adjacent sequences:  A003333 A003334 A003335 * A003337 A003338 A003339

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 05:54 EST 2012. Contains 205985 sequences.