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A134703 Powerful numbers (2b): a sum of nonnegative powers of its digits. 6

%I

%S 0,1,2,3,4,5,6,7,8,9,24,43,63,89,132,135,153,175,209,224,226,254,258,

%T 262,263,264,267,283,308,332,333,334,347,357,370,371,372,373,374,375,

%U 376,377,378,379,407,445,463,472,518,538,598,629,635,653,675,730,731,732,733,734

%N Powerful numbers (2b): a sum of nonnegative powers of its digits.

%C 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.

%H David Wilson, <a href="/A134703/b134703.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Pow#powerful">Index entries for sequences related to powerful numbers</a>

%F 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.

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

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

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

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

%Y Different from A007532 and A061862, which are variations.

%K base,nonn

%O 1,3

%A _David W. Wilson_, Sep 05 2009

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Last modified June 18 15:13 EDT 2019. Contains 324213 sequences. (Running on oeis4.)