cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A284375 Numbers whose product of digits is a power of 0.

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%I A284375 #19 Jun 25 2025 14:43:23
%S A284375 0,1,10,11,20,30,40,50,60,70,80,90,100,101,102,103,104,105,106,107,
%T A284375 108,109,110,111,120,130,140,150,160,170,180,190,200,201,202,203,204,
%U A284375 205,206,207,208,209,210,220,230,240,250,260,270,280,290,300,301,302,303
%N A284375 Numbers whose product of digits is a power of 0.
%e A284375 111 is in the sequence because 1*1*1 = 1 = 0^0.
%t A284375 Select[Range[0, 500], Times@@ IntegerDigits[#] <2 &] (* _Indranil Ghosh_, Mar 26 2017 *)
%o A284375 (Magma) Set(Sort([n: n in [1..10000], k in [0..20] | &*Intseq(n) eq 0^k]));
%Y A284375 Union of A011540 and A002275. Supersequence of A007088.
%Y A284375 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 A284375 nonn,base
%O A284375 1,3
%A A284375 _Jaroslav Krizek_, Mar 26 2017