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A090516
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Perfect powers (at least a square) in which neighboring digits are distinct.
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2
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Sequence must be infinite but a proof is needed. Subsidiary sequences; Perfect squares or perfect cubes etc. in which neighboring digits are distinct.
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CROSSREFS
| Cf. A001597 (perfect powers), A075309 (distinct-digit perfect powers).
Sequence in context: A001597 A072777 A076292 * A090515 A075309 A175031
Adjacent sequences: A090513 A090514 A090515 * A090517 A090518 A090519
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KEYWORD
| base,easy,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 06 2003
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EXTENSIONS
| Corrected and extended by Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 01 2005
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