login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A241142 Numbers n such that n and 6n share at least one digit. 6
2, 4, 6, 8, 10, 12, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 34, 36, 38, 39, 40, 41, 42, 44, 46, 48, 49, 50, 52, 53, 54, 56, 58, 59, 60, 61, 62, 63, 64, 66, 68, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 90, 92, 94, 95, 96, 98, 99, 100 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All numbers n which are congruent to 0 (mod 6) have this characteristic.

All even n have this characteristic, because n == 6n mod 10. Robert Israel, Apr 17 2014

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

12 is in the sequence since 12 and 6*12 = 72 and together they share the digit 2.

MAPLE

  N:= 10000;  # to get all entries up to N

filter:= proc(n) local L, L6;

   L:= convert(convert(n, base, 10), set);

   L6:= convert(convert(6*n, base, 10), set);

   L intersect L6 <> {};

end;

select(filter, [$1..N]); # Robert Israel, Apr 17 2014

MATHEMATICA

fQ[n_] := Intersection[ IntegerDigits[ n], IntegerDigits[6 n]] != {}; Select[ Range[ 100], fQ]

PROG

(PARI) isok(n) = #setintersect(Set(digits(n)), Set(digits(6*n))); \\ Michel Marcus, Apr 17 2014

CROSSREFS

Cf. A129845, A129846, A129848, A241141, A241143, A241144, A241145, A241146.

Sequence in context: A076428 A319747 A055958 * A271907 A069816 A088116

Adjacent sequences:  A241139 A241140 A241141 * A241143 A241144 A241145

KEYWORD

base,easy,nonn

AUTHOR

Robert G. Wilson v, Apr 16 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 18 12:35 EDT 2021. Contains 347527 sequences. (Running on oeis4.)