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.

89, 43, 63, 135, 175, 518, 598, 1306, 1676, 2427, 6714, 47016, 63760, 63761, 542186, 2646798, 670737197, 379708090297, 564006716783, 33853790788237

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