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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
89, 43, 63, 135, 175, 518, 598, 1306, 1676, 2427, 6714, 47016, 63760, 63761, 542186, 2646798, 670737197, 379708090297, 564006716783, 33853790788237 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..21.

D. Knuth, Table of a(n) for n=1..20 with leading zeros shown

Joseph S. Madachy, Some new narcissistic numbers, Fibonacci Quarterly 10 (1972), 295-298.

EXAMPLE

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

Triangle begins:

89;

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

1306, 1676, 2427;

006714, 047016;

0063760, 0063761, 0542186, 2646798;

0670737197;

0379708090297;

00564006716783;

0033853790788237;

CROSSREFS

Sequence in context: A075483 A220135 A301827 * A033409 A152160 A075481

Adjacent sequences:  A262090 A262091 A262092 * A262094 A262095 A262096

KEYWORD

nonn,base,tabf

AUTHOR

Don Knuth, Sep 10 2015

STATUS

approved

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Last modified September 30 12:21 EDT 2020. Contains 337439 sequences. (Running on oeis4.)