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.

A263476 Total number of n-digit positive integers with multiplicative digital root value 0.

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%I A263476 #26 Oct 25 2015 06:58:54
%S A263476 0,24,452,6263,75662,820207,8491909,86727773,879578102,8878382430,
%T A263476 89326016765,896499124003,8981948713433,89902031287356,
%U A263476 899441785434096,8996797304009863,89981980972837834,899900967867894143,8999467457237611688,89997196286115385871
%N A263476 Total number of n-digit positive integers with multiplicative digital root value 0.
%C A263476 First differences of A263470.
%H A263476 Hiroaki Yamanouchi, <a href="/A263476/b263476.txt">Table of n, a(n) for n = 1..50</a>
%F A263476 a(n) + A000012(n) + A263477(n) + A000027(n) + A263478(n) + A263479(n) + A263480(n) + A000027(n) + A263481(n) + A000217(n) = A052268(n).
%t A263476 Last /@ Tally@ IntegerLength@ Select[Range[0, 10^6 - 1], FixedPoint[Times @@ IntegerDigits@ # &, #] == 0 &] (* _Michael De Vlieger_, Oct 21 2015 *)
%o A263476 (PARI) t(k) = {while(k>9, k=prod(i=1, #k=digits(k), k[i])); k}
%o A263476 a(n) = sum(i=10^(n-1), 10^n - 1, if(t(i) == 0, 1, 0));  \\ _Altug Alkan_, Oct 19 2015
%Y A263476 Cf. A031347, A034048, A263470.
%K A263476 nonn,base
%O A263476 1,2
%A A263476 _Martin Renner_, Oct 19 2015
%E A263476 a(9)-a(20) from _Hiroaki Yamanouchi_, Oct 25 2015