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A262094 Orders m for which the only perfect digital invariants of order m are 0 and 1. 1
1, 2, 12, 15, 18, 22, 26, 28, 30, 40, 41, 48, 50, 52, 58, 80, 82, 88, 98, 103, 106, 130, 135, 136, 138, 139, 140, 142, 150, 152, 159, 164, 165, 166 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(1), a(2), ... are the indices m for which A255668(m)=2, also A003321(m)=0, also A046761(m)=1.

The values seem to appear in clusters.

LINKS

Table of n, a(n) for n=1..34.

EXAMPLE

a(3)=12 because there's no solution to x=(x_{12}...x_1x_0)_{10} = x_{12}^{12}+...+x_1^{12}+x_0^{12} except x=0 and x=1.

CROSSREFS

Cf. A003321, A046761, A255668.

Sequence in context: A269130 A265485 A166745 * A200183 A118516 A077103

Adjacent sequences:  A262091 A262092 A262093 * A262095 A262096 A262097

KEYWORD

nonn,base,more

AUTHOR

Don Knuth, Sep 10 2015

STATUS

approved

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Last modified August 11 09:56 EDT 2020. Contains 336423 sequences. (Running on oeis4.)