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A045811 In the list of divisors of n (in base 3), each digit 0-2 appears equally often. 2
20, 10022, 10202, 12002, 12020, 12200, 20012, 20102, 20120, 20201, 20210, 20220, 21002, 21200, 22002, 22010, 22020, 22100, 22200, 1210020, 1210022, 1212200, 1220100, 10222011, 12200220, 12202020, 12210210, 20010121, 20010212 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..2500

Naohiro Nomoto, In the list of divisors of n,... [Broken link]

EXAMPLE

Divisors of 12200 are (1, 10, 100, 122, 1220, 12200); the numbers of digits (0-2) are [0(6), 1(6), 2(6)].

MAPLE

f:= proc(n) local D, v, r, i;

  D:= map(op@convert, convert(numtheory:-divisors(n), list), base, 3);

  if nops({numboccur(0, D), numboccur(1, D), numboccur(2, D)})=1 then

    r:= convert(n, base, 3);

    add(r[i]*10^(i-1), i=1..nops(r))

  fi

end proc:

map(f, [$1..3^8]); # Robert Israel, Nov 14 2020

CROSSREFS

Cf. A038564, A038565, A045812.

Sequence in context: A203308 A109122 A135420 * A086687 A173790 A028667

Adjacent sequences:  A045808 A045809 A045810 * A045812 A045813 A045814

KEYWORD

nonn,base

AUTHOR

Naohiro Nomoto

STATUS

approved

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Last modified September 26 23:44 EDT 2022. Contains 357051 sequences. (Running on oeis4.)