

A034048


Numbers with multiplicative digital root value 0.


17



0, 10, 20, 25, 30, 40, 45, 50, 52, 54, 55, 56, 58, 59, 60, 65, 69, 70, 78, 80, 85, 87, 90, 95, 96, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 120, 125, 130, 140, 145, 150, 152, 154, 155, 156, 158, 159, 160, 165, 169, 170, 178, 180, 185, 187, 190, 195
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OFFSET

1,2


COMMENTS

Numbers with root value 1 are the 'repunits' (see A000042).
This sequence has density 1.  Franklin T. AdamsWatters, Apr 01 2009
Any integer with at least one 0 among its base 10 digits is in this sequence.  Alonso del Arte, Aug 29 2014
This sequence is 10automatic: it contains numbers with a 0, or with a 5 and any even digit.  Charles R Greathouse IV, Feb 13 2017


LINKS

Franklin T. AdamsWatters, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Multiplicative Digital Root
Index entries for 10automatic sequences.


EXAMPLE

20 is in the sequence because 2 * 0 = 0.
25 is in the sequence because 2 * 5 = 10 and 1 * 0 = 0.


PROG

(PARI) is(n)=factorback(digits(n))==0 \\ Charles R Greathouse IV, Feb 13 2017


CROSSREFS

Cf. A031347, A034048, A002275, A034049, A034050, A034051, A034052, A034053, A034054, A034055, A034056 (numbers having multiplicative digital roots 09).
Cf. the subsets A011540 and A008592.
Sequence in context: A098165 A104801 A144140 * A199978 A179819 A320522
Adjacent sequences: A034045 A034046 A034047 * A034049 A034050 A034051


KEYWORD

nonn,base,easy


AUTHOR

Patrick De Geest, Sep 15 1998


STATUS

approved



