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A010346 Base-5 Armstrong or narcissistic numbers (written in base 10). 14


%S 1,2,3,4,13,18,28,118,289,353,419,4890,4891,9113,1874374,338749352,

%T 2415951874

%N Base-5 Armstrong or narcissistic numbers (written in base 10).

%C Zero would also satisfy the definition as the other single-digit terms, but here only positive numbers are considered. - _M. F. Hasler_, Nov 20 2019

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NarcissisticNumber.html">Narcissistic Number</a>

%H D. T. Winter, <a href="http://ftp.cwi.nl/dik/Armstrong">Table of Armstrong Numbers</a>

%o (PARI) A010346=select( is_A010346(n)={n==vecsum([d^#n|d<-n=digits(n,5)])}, [0..9999]) \\ This yields only terms < 10^4 (i.e., all but the last 3 terms), for illustration of is_A010346(). In older versions of PARI, use {n==sum(i=1,#n=digits(n,5),n[i]^#n)}. - _M. F. Hasler_, Nov 20 2019

%Y Cf. A010345 (a(n) written in base 5).

%Y In other bases: A010344 (base 4), A010348 (base 6), A010350 (base 7), A010354 (base 8), A010353 (base 9), A005188 (base 10), A161948 (base 11), A161949 (base 12), A161950 (base 13), A161951 (base 14), A161952 (base 15), A161953 (base 16).

%K base,fini,full,nonn

%O 1,2

%A _N. J. A. Sloane_

%E Edited by _Joseph Myers_, Jun 28 2009

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Last modified May 28 12:18 EDT 2020. Contains 334681 sequences. (Running on oeis4.)