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A262093 Narcissistic numbers greater than 1 with the property that, when a suitable number of zeros is prepended to the decimal notation x=(x_1x_2...x_m)_{10}, we have x_1^1 + x_2^2 + ... + x_m^m = x. 0

%I

%S 89,43,63,135,175,518,598,1306,1676,2427,6714,47016,63760,63761,

%T 542186,2646798,670737197,379708090297,564006716783,33853790788237

%N Narcissistic numbers greater than 1 with the property that, when a suitable number of zeros is prepended to the decimal notation x=(x_1x_2...x_m)_{10}, we have x_1^1 + x_2^2 + ... + x_m^m = x.

%H D. Knuth, <a href="http://www-cs-faculty.stanford.edu/~knuth/narcissus.txt">Table of a(n) for n=1..20 with leading zeros shown</a>

%H Joseph S. Madachy, <a href="http://www.fq.math.ca/Scanned/10-3/madachy.pdf">Some new narcissistic numbers</a>, Fibonacci Quarterly 10 (1972), 295-298.

%e 89 = 8^1 + 9^2; 043 = 0^1 + 4^2 + 3^3; etc.

%e Triangle begins:

%e 89;

%e 043, 063, 135, 175, 518, 598;

%e 1306, 1676, 2427;

%e 006714, 047016;

%e 0063760, 0063761, 0542186, 2646798;

%e 0670737197;

%e 0379708090297;

%e 00564006716783;

%e 0033853790788237;

%K nonn,base,tabf

%O 2,1

%A _Don Knuth_, Sep 10 2015

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Last modified May 29 02:45 EDT 2022. Contains 354122 sequences. (Running on oeis4.)