A284375 - OEIS

%I #13 Sep 08 2022 08:46:19

%S 0,1,10,11,20,30,40,50,60,70,80,90,100,101,102,103,104,105,106,107,

%T 108,109,110,111,120,130,140,150,160,170,180,190,200,201,202,203,204,

%U 205,206,207,208,209,210,220,230,240,250,260,270,280,290,300,301,302,303

%N Numbers whose product of digits is a power of 0.

%C Union A011540 and A002275. Supersequence of A007088.

%e 111 is in the sequence because 1*1*1 = 1 = 0^0.

%t Select[Range[0, 500], Times@@ IntegerDigits[#] <2 &] (* _Indranil Ghosh_, Mar 26 2017 *)

%o (Magma) Set(Sort([n: n in [1..10000], k in [0..20] | &*Intseq(n) eq 0^k]))

%Y Cf. Numbers n such that product of digits of n is a power of k for k = 0 - 9: this sequence (k = 0), A002275 (k = 1), A028846 (k = 2), A174813 (k = 3), A284323 (k = 4), A276037 (k = 5), A276038 (k = 6), A276039 (k = 7), A284324 (k = 8), A284295 (k = 9), A328560 (k = 10).

%K nonn,base

%O 1,3

%A _Jaroslav Krizek_, Mar 26 2017