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A199988 Numbers whose product of digits is 6. 3
6, 16, 23, 32, 61, 116, 123, 132, 161, 213, 231, 312, 321, 611, 1116, 1123, 1132, 1161, 1213, 1231, 1312, 1321, 1611, 2113, 2131, 2311, 3112, 3121, 3211, 6111, 11116, 11123, 11132, 11161, 11213, 11231, 11312, 11321, 11611, 12113, 12131, 12311, 13112, 13121 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MAPLE
f:= proc(d) local b, i, t;
b:= (10^d-1)/9;
op(sort([seq(b+5*10^i, i=0..d-1), seq(b+10^t[1]+2*10^t[2], t = combinat:-permute([$0..d-1], 2))]))
end proc:
seq(f(i), i=1..5); # Robert Israel, Jan 13 2021
MATHEMATICA
Select[Range[20000], Times @@ IntegerDigits[#] == 6 &] (* T. D. Noe, Nov 16 2011 *)
PROG
(Python)
from sympy import prod
from sympy.utilities.iterables import multiset_permutations
def agen(maxdigits):
for digs in range(1, maxdigits+1):
for mp in multiset_permutations("1"*(digs-1) + "236", digs):
if prod(map(int, mp)) == 6: yield int("".join(mp))
print(list(agen(5))) # Michael S. Branicky, Jun 16 2021
CROSSREFS
Subsequence of A034053.
Cf. A007954.
Sequence in context: A340497 A051808 A034053 * A114222 A348229 A275641
KEYWORD
nonn,look,base
AUTHOR
Jaroslav Krizek, Nov 13 2011
STATUS
approved

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Last modified April 22 09:21 EDT 2024. Contains 371893 sequences. (Running on oeis4.)