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.
%I A064700 #25 Sep 04 2023 11:12:10 %S A064700 1,2,3,4,5,6,7,8,9,11,12,15,24,26,34,35,48,62,64,72,75,84,88,111,112, %T A064700 115,126,132,134,135,136,144,162,168,172,174,175,176,186,192,212,216, %U A064700 228,232,246,248,264,276,278,282,288,312,314,315,322,355,364,376,378 %N A064700 Numbers k that are divisible by the multiplicative digital root of k. %C A064700 No term has 0 as one of its digits. %C A064700 The only primes in the sequence are {2, 3, 5, 7, 11} and any other prime that has only 1s as digits, such as 1111111111111111111. %H A064700 Reinhard Zumkeller, <a href="/A064700/b064700.txt">Table of n, a(n) for n = 1..10000</a> %H A064700 <a href="/index/Ar#10-automatic">Index entries for 10-automatic sequences</a>. %t A064700 mdr[n_] := FixedPoint[ Times @@ IntegerDigits[#] &, n]; Select[ Range[400], (m = mdr[#]; m > 0 && Mod[#, m] == 0) &] (* _Jean-François Alcover_, Nov 30 2011 *) %t A064700 dvsbQ[n_]:=Mod[n,NestWhile[Times@@IntegerDigits[#]&,n,#>9&]/.(0->Pi)]==0; Select[Range[ 500], dvsbQ] (* _Harvey P. Dale_, Aug 09 2023 *) %o A064700 (Haskell) %o A064700 a064700 n = a064700_list !! (n-1) %o A064700 a064700_list = filter f [1..] where %o A064700 f x = mdr > 0 && x `mod` mdr == 0 where mdr = a031347 x %o A064700 -- Reinhad Zumkeller, Sep 22 2011 %Y A064700 Cf. A031346, A007954, A031347, A052382. %K A064700 nonn,base,nice %O A064700 1,2 %A A064700 _Santi Spadaro_, Oct 12 2001