id:A087209 - OEIS Search Results

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Numbers n such that n^2 = x^3 + y^4 with positive integers x, y.

+0
2

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; listen)

	OFFSET	`1,1`
	COMMENT	`There are an infinite number of solutions. Parametrizations are given at the Alpern link.`
	LINKS	`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 this_sequence A165440 A072306 A071150` `Adjacent sequences: A087206 A087207 A087208 this_sequence A087210 A087211 A087212`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Aug 26 2003`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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