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A134703 Powerful numbers (2b): a sum of nonnegative powers of its digits. 6
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 24, 43, 63, 89, 132, 135, 153, 175, 209, 224, 226, 254, 258, 262, 263, 264, 267, 283, 308, 332, 333, 334, 347, 357, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 407, 445, 463, 472, 518, 538, 598, 629, 635, 653, 675, 730, 731, 732, 733, 734 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Here 0 digits may be used, with the convention that 0^0 = 1. Of course 0^1 = 0, so one is free to use the 0 digit to get an extra 1, or not.

LINKS

David Wilson, Table of n, a(n) for n = 1..10000

Index entries for sequences related to powerful numbers

FORMULA

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.

EXAMPLE

43 = 4^2 + 3^3; 254 = 2^7 + 5^3 + 4^0 = 128 + 125 + 1.

209 = 2^7 + 0^1 + 9^2.

732 = 7^0 + 3^6 + 2^1.

CROSSREFS

Cf. A001694, A005934, A005188, A003321, A014576, A023052, A046074.

Different from A007532 and A061862, which are variations.

Sequence in context: A116960 A126957 A228187 * A061862 A007532 A068189

Adjacent sequences:  A134700 A134701 A134702 * A134704 A134705 A134706

KEYWORD

base,nonn

AUTHOR

David W. Wilson, Sep 05 2009

STATUS

approved

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Last modified September 23 17:46 EDT 2017. Contains 292362 sequences.