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.

A051004 Numbers divisible both by their individual digits and by the sum of their digits.

This page as a plain text file.
%I A051004 #29 Feb 16 2025 08:32:41
%S A051004 1,2,3,4,5,6,7,8,9,12,24,36,48,111,112,126,132,135,144,162,216,222,
%T A051004 224,264,288,312,315,324,333,336,396,432,444,448,555,612,624,648,666,
%U A051004 735,777,864,888,936,999,1116,1122,1128,1164,1212,1224,1236,1296,1332
%N A051004 Numbers divisible both by their individual digits and by the sum of their digits.
%C A051004 No zero digits permitted. [_Harvey P. Dale_, Dec 18 2011]
%H A051004 Reinhard Zumkeller, <a href="/A051004/b051004.txt">Table of n, a(n) for n = 1..10000</a>
%H A051004 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Digit.html">Digit</a>
%t A051004 ddQ[n_]:=Module[{idn=IntegerDigits[n]},!MemberQ[idn,0] && Divisible[ n,Total[idn]]&& And @@ Divisible[n,idn]]; Select[Range[1400],ddQ] (* _Harvey P. Dale_, Dec 18 2011 *)
%o A051004 (Haskell)
%o A051004 a051004 n = a051004_list !! (n-1)
%o A051004 a051004_list =  [x | x <- a005349_list,
%o A051004                      x == head (dropWhile (< x) a034838_list)]
%o A051004 -- _Reinhard Zumkeller_, Mar 03 2012
%Y A051004 Intersection of A005349 and A034838.
%Y A051004 Cf. A038369, A087142.
%K A051004 nonn,nice,base
%O A051004 1,2
%A A051004 _Eric W. Weisstein_
%E A051004 Offset corrected by _Reinhard Zumkeller_, Mar 03 2012