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Search: id:A007532
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| A007532 |
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Powerful numbers (2): a sum of positive powers of its digits.
(Formerly M0487)
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+0
12
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 24, 43, 63, 89, 132, 135, 153, 175, 209, 224, 226, 262, 264, 267, 283, 332, 333, 334, 357, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 407, 445, 463, 518, 598, 629, 739, 794, 849, 935, 994, 1034
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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David W. Wilson, Table of n, a(n) for n = 1..10000
Index entries for sequences related to powerful numbers
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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If n = d_1 d_2 ... d_k in decimal then there are integers m_1 m_2 ... m_k > 0 such that n = d_1^m_1 + ... + d_k^m_k.
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EXAMPLE
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43 = 4^2 + 3^3 is OK; 254 = 2^7 + 5^3 + 4^0 is not OK since one of the powers is 0.
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CROSSREFS
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Cf. A001694, A005934, A005188, A003321, A014576, A023052, A046074.
Different from A061862.
Sequence in context: A126957 A134703 A061862 this_sequence A068189 A069716 A095289
Adjacent sequences: A007529 A007530 A007531 this_sequence A007533 A007534 A007535
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KEYWORD
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base,nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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