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A087209 Numbers n such that n^2 = x^3 + y^4 with positive integers x, y. 1
3, 29, 45, 76, 162, 192, 397, 405, 612, 650, 1025, 1098, 1275, 1856, 2064, 2160, 2187, 2880, 3420, 4864, 5499, 6831, 6875, 8775, 9072, 10368, 12288, 12348, 15000, 21096, 21141, 25408, 25920, 26811, 29079, 30600, 30758, 32805, 33957, 36875, 39168 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are an infinite number of solutions. Parametrizations are given at the Alpern link.

LINKS

Table of n, a(n) for n=1..41.

Dario Alpern, Sum of powers

EXAMPLE

a(1)=3 because 3^2=2^3+1^4. a(3)=45: 45^2=9^3+6^4=729+1296=2025.

CROSSREFS

Cf. A087210, solutions with gcd (n, x, y)=1.

Sequence in context: A125854 A167278 A106979 * A165440 A072306 A303137

Adjacent sequences:  A087206 A087207 A087208 * A087210 A087211 A087212

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Aug 26 2003

STATUS

approved

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Last modified August 17 17:04 EDT 2019. Contains 326059 sequences. (Running on oeis4.)