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.

A036310 Composite numbers whose prime factors contain no digits other than 2 and 3.

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%I A036310 #31 May 18 2022 07:56:56
%S A036310 4,6,8,9,12,16,18,24,27,32,36,46,48,54,64,69,72,81,92,96,108,128,138,
%T A036310 144,162,184,192,207,216,243,256,276,288,324,368,384,414,432,446,466,
%U A036310 486,512,529,552,576,621,648,669,699,729,736,768,828,864,892,932,972
%N A036310 Composite numbers whose prime factors contain no digits other than 2 and 3.
%C A036310 All terms are a product of at least two terms of A020458. - _David A. Corneth_, Oct 09 2020
%H A036310 David A. Corneth, <a href="/A036310/b036310.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Vincenzo Librandi)
%H A036310 <a href="/index/Pri#prime_factors">Index entries for sequences related to prime factors</a>.
%F A036310 Sum_{n>=1} 1/a(n) = Product_{p in A020458} (p/(p - 1)) - Sum_{p in A020458} 1/p - 1 = 1.2804224166... . - _Amiram Eldar_, May 18 2022
%t A036310 dpfQ[n_]:=Module[{d=Union[Flatten[IntegerDigits/@Transpose[ FactorInteger[ n]][[1]]]]},!PrimeQ[n] && (d=={2}||d=={3}||d=={2,3})]; Select[Range[ 1000], dpfQ] (* _Harvey P. Dale_, Aug 24 2013 *)
%Y A036310 Cf. A003586, A020458, A036302-A036325.
%K A036310 nonn,easy,base
%O A036310 1,1
%A A036310 _Patrick De Geest_, Dec 15 1998