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.

A098685 Numbers n such that pi(n) = sigma(d_1)*sigma(d_2)*...*sigma(d_k) where d_1 d_2 ... d_k is the decimal expansion of n.

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%I A098685 #18 Mar 05 2019 18:17:56
%S A098685 15,155,252,916,1189,12654,55293,177554,418634,753248,885193,18252678,
%T A098685 18252687,18469156,18469165,19882616,19882623,41867246,73526936,
%U A098685 73526957,233843449,244895519,2345784285,2399877831,4273447776,29891923496,42649454852,728781494646
%N A098685 Numbers n such that pi(n) = sigma(d_1)*sigma(d_2)*...*sigma(d_k) where d_1 d_2 ... d_k is the decimal expansion of n.
%C A098685 a(n) must necessarily be a zeroless number. - _Chai Wah Wu_, Mar 04 2019
%H A098685 Chai Wah Wu, <a href="/A098685/b098685.txt">Table of n, a(n) for n = 1..34</a>
%e A098685 885193 is in the sequence because pi(885193) = sigma(8)*sigma(8)*sigma(5)*sigma(1)*sigma(9)*sigma(3).
%t A098685 Do[d=IntegerDigits[n];k=Length[d];If[ !MemberQ[d, 0]&&PrimePi[n]== Product[DivisorSigma[1, d[[j]]], {j, k}], Print[n]], {n, 10000000}]
%Y A098685 Cf. A000203, A000720, A052382, A098686, A098683, A098684.
%K A098685 base,nonn
%O A098685 1,1
%A A098685 _Farideh Firoozbakht_, Sep 24 2004
%E A098685 a(12)-a(25) from _Donovan Johnson_, Jun 18 2009
%E A098685 a(26)-a(28) from _Chai Wah Wu_, Mar 04 2019