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 A225793 #35 Aug 23 2017 16:26:18 %S A225793 2,4,6,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30, %T A225793 32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56, %U A225793 57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,76,77 %N A225793 Numbers n that can be uniquely expressed as (m + sum of digits of m) for some m. %C A225793 Subset of A176995; first member in A176995 that is not here is 101, next is 103 (cf. A230094). %C A225793 A230093(a(n)) = 1. - _Reinhard Zumkeller_, Oct 11 2013 %D A225793 Joshi, V. S. A note on self-numbers. Volume dedicated to the memory of V. Ramaswami Aiyar. Math. Student 39 (1971), 327--328 (1972). MR0330032 (48 #8371) %D A225793 Makowski, Andrzej. On Kaprekar's "junction numbers''. Math. Student 34 1966 77 (1967). MR0223292 (36 #6340) %D A225793 Narasinga Rao, A. On a technique for obtaining numbers with a multiplicity of generators. Math. Student 34 1966 79--84 (1967). MR0229573 (37 #5147) %H A225793 Jayanta Basu and Donovan Johnson, <a href="/A225793/b225793.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Jayanta Basu) %H A225793 <a href="/index/Coi#Colombian">Index entries for Colombian or self numbers and related sequences</a> %e A225793 100 is a member as 100 = 86 + sum of digits of (86). 101 is not a member since both 91 and 100 generate 101. Again 103 is not a member as 92 and 101 generate 103. %p A225793 For Maple code see A230093. - _N. J. A. Sloane_, Oct 11 2013 %t A225793 co[n_] := Count[Range[n - 1], _?(# + Total[IntegerDigits[#]] == n &)]; Select[Range[100], co[#] == 1 &] %t A225793 Select[Tally[Table[m+Total[IntegerDigits[m]],{m,100}]],#[[2]]==1&][[All, 1]]// Sort (* _Harvey P. Dale_, Aug 23 2017 *) %o A225793 (Haskell) %o A225793 a225793 n = a225793_list !! (n-1) %o A225793 a225793_list = filter ((== 1) . a230093) [1..] %o A225793 -- _Reinhard Zumkeller_, Oct 11 2013 %Y A225793 Cf. A007953, A062028, A004207, A230093, A003052, A176995, A230094. %K A225793 nonn,base %O A225793 1,1 %A A225793 _Jayanta Basu_, Jul 27 2013