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A134698
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Self-power numbers (or SPN's): numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th power of some number as a substring of n and also n contains no 0's or 1's.
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9
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32564, 232564, 256432, 322564, 325642, 325643, 325644, 325645, 325646, 325648, 325664, 332564, 432564, 532564, 632564, 643256, 832564, 2232564, 2256432, 2322564, 2325642, 2325643, 2325644, 2325645, 2325646, 2325648, 2325664, 2332564, 2432564, 2532564
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Computed by M. F. Hasler (maximilian.hasler(AT)gmail.com), Feb 02 2008, Feb 03 2008
There are an infinite number of SPN's, since for example we can prefix n by any digit of n.
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LINKS
| M. F. Hasler, Table of n, a(n) for n = 1..1158
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EXAMPLE
| n = 32564 is a member because we can see a cube (64) in n, a square (4 or 25), a fifth power (32), a sixth power (64) and a fourth power (256).
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CROSSREFS
| Cf. A134949, A134947, A134439, A134692, A134948.
Sequence in context: A156421 A156423 A028240 * A134949 A134947 A172700
Adjacent sequences: A134695 A134696 A134697 * A134699 A134700 A134701
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KEYWORD
| nonn,base
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AUTHOR
| Eric Angelini (keynews.tv(AT)skynet.be), Jul 05 2005
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EXTENSIONS
| More terms from M. F. Hasler, Feb 02 2008
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