

A182183


Numbers n such that divisors of n are divisible by all digits of their divisors.


1



1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 22, 24, 33, 44, 55, 66, 77, 88, 99, 132, 264, 1111111111111111111, 2222222222222222222, 3333333333333333333, 4444444444444444444, 5555555555555555555, 6666666666666666666, 7777777777777777777, 8888888888888888888
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OFFSET

1,2


COMMENTS

Subsequence of A209933 (numbers n that are divisible by all digits of their divisors).
All divisors of numbers from sequence are in sequence.
The primitive elements of this sequence are A116692. No member of this sequence is divisible by a prime outside this sequence.  Charles R Greathouse IV, Apr 17 2012


LINKS

Table of n, a(n) for n=1..31.


EXAMPLE

Number 48 with divisors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 is not in sequence because 6 is not divisor of 16.


PROG

(PARI) all(n)=my(v=vecsort(eval(Vec(Str(n))), , 8)); if(v[1]==0, return(0)); for(i=1, #v, if(n%v[i], return(0))); 1
is(n)=fordiv(n, d, if(!all(d), return(0))); 1 \\ Charles R Greathouse IV, Apr 17 2012
(Haskell)
import Data.List ((\\))
a182183 n = a182183_list !! (n1)
a182183_list = f a209933_list [1] where
f (x:xs) ys =
if null (a027751_row x \\ ys) then x : f xs (x : ys) else f xs ys
 Reinhard Zumkeller, Apr 19 2012


CROSSREFS

Subsequence of A034838. A116692 is a subsequence.
Cf. A209933.
Cf. A027751.
Cf. A027751.
Sequence in context: A034838 A063527 A209933 * A308472 A064700 A180484
Adjacent sequences: A182180 A182181 A182182 * A182184 A182185 A182186


KEYWORD

nonn,base


AUTHOR

Jaroslav Krizek, Apr 17 2012


EXTENSIONS

a(24)a(31) from Charles R Greathouse IV, Apr 17 2012


STATUS

approved



