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.

A064700 Numbers k that are divisible by the multiplicative digital root of k.

This page as a plain text file.
%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