id:A090516 - OEIS Search Results

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Perfect powers (at least a square) in which neighboring digits are distinct.

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1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 121, 125, 128, 169, 196, 216, 243, 256, 289, 324, 343, 361, 484, 512, 529, 576, 625, 676, 729, 784, 841, 961, 1024, 1089, 1296, 1369, 1521, 1681, 1728, 1764, 1849, 1936, 2025, 2048, 2187, 2197, 2304, 2401, 2601 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Sequence must be infinite but a proof is needed. Subsidiary sequences; Perfect squares or perfect cubes etc. in which neighboring digits are distinct.`
	CROSSREFS	`Cf. A001597 (perfect powers), A075309 (distinct-digit perfect powers).` `Sequence in context: A001597 A072777 A076292 this_sequence A090515 A075309 A175031` `Adjacent sequences: A090513 A090514 A090515 this_sequence A090517 A090518 A090519`
	KEYWORD	`base,easy,nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 06 2003`
	EXTENSIONS	`Corrected and extended by Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 01 2005`

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Last modified March 17 15:31 EDT 2010. Contains 173524 sequences.

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