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.

A003219 Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).

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%I A003219 M2405 #23 Jul 02 2025 16:01:54
%S A003219 1,3,5,7,9,20,42,108,110,132,198,209,222,266,288,312,378,400,468,512,
%T A003219 558,648,738,782,804,828,918,1032,1098,1122,1188,1212,1278,1300,1368,
%U A003219 1458,1526,1548,1638,1704,1728,1818,1974,2007,2022,2088,2112,2156,2178
%N A003219 Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).
%D A003219 D. R. Kaprekar, Puzzles of the Self-Numbers. 311 Devlali Camp, Devlali, India, 1959.
%D A003219 D. R. Kaprekar, The Mathematics of the New Self Numbers (Part V). 311 Devlali Camp, Devlali, India, 1967.
%D A003219 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A003219 N. J. A. Sloane, <a href="/A003219/b003219.txt">Table of n, a(n) for n = 1..7045</a>
%t A003219 Select[list=Range[2178]; Complement[list,Table[n+Total[IntegerDigits[n]],{n,list}]], IntegerQ[#/Total[IntegerDigits[#]]] &] (* _Jayanta Basu_, May 05 2013 *)
%Y A003219 Cf. A003052, A005349.
%K A003219 nonn,base
%O A003219 1,2
%A A003219 _N. J. A. Sloane_
%E A003219 More terms from _James Sellers_, Jul 06 2000