

A321771


Numbers whose digit product equals the number of their digits.


1



1, 12, 21, 113, 131, 311, 1114, 1122, 1141, 1212, 1221, 1411, 2112, 2121, 2211, 4111, 11115, 11151, 11511, 15111, 51111, 111116, 111123, 111132, 111161, 111213, 111231, 111312, 111321, 111611, 112113, 112131, 112311, 113112, 113121, 113211, 116111, 121113
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OFFSET

1,2


COMMENTS

Idea is similar to A061384, which uses addition instead of multiplication.


LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000


EXAMPLE

12 has two digits, and their product is also 2, as 1*2=2.


MATHEMATICA

Select[Range[1000000], Length[IntegerDigits[#]] == Times @@ IntegerDigits[#] &] (* Amiram Eldar, Nov 21 2018 *)


PROG

(PARI) isok(n) = my(d=digits(n)); vecprod(d) == #d; \\ Michel Marcus, Nov 22 2018


CROSSREFS

Cf. A061384.
Cf. A007954, A055642. Subsequence of A007602.
Subsequence of A052382 (zeroless numbers).
Sequence in context: A111066 A201015 A044005 * A225864 A134514 A030299
Adjacent sequences: A321768 A321769 A321770 * A321772 A321773 A321774


KEYWORD

nonn,base


AUTHOR

Ivan Stoykov, Nov 21 2018


EXTENSIONS

More terms from Amiram Eldar, Nov 21 2018


STATUS

approved



