id:A097055 - OEIS Search Results

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Numbers n such that the interval n^2 < x < (n+1)^2 contains at least one non-square perfect power A097054.

+0
3

2, 5, 11, 14, 15, 18, 22, 31, 36, 41, 45, 46, 52, 55, 58, 70, 76, 82, 88, 89, 90, 96, 103, 110, 117, 129, 132, 140, 148, 156, 164, 172, 181, 189, 198, 207, 225, 234, 243, 252, 262, 272, 279, 281, 291, 301, 311, 316, 322, 332, 353, 362, 364, 374, 385, 396, 401 (list; graph; listen)

	OFFSET	`1,1`
	EXAMPLE	`a(1)=2 because 2^2<2^3<3^2, a(2)=5: 5^2<3^3<2^5<6^2, a(3)=11: 11^2<5^3<2^7<12^2.`
	CROSSREFS	`Cf. A000290 the squares, A097054 non-square perfect powers, A097056 intervals containing 2 distinct non-square perfect powers.` `Sequence in context: A062572 A106283 A020629 this_sequence A026228 A003420 A080156` `Adjacent sequences: A097052 A097053 A097054 this_sequence A097056 A097057 A097058`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Jul 21 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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