

A225793


Numbers n that can be uniquely expressed as (m + sum of digits of m) for some m.


4



2, 4, 6, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77
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OFFSET

1,1


COMMENTS

Subset of A176995; first member in A176995 that is not here is 101, next is 103 (cf. A230094).
A230093(a(n)) = 1.  Reinhard Zumkeller, Oct 11 2013


REFERENCES

Joshi, V. S. A note on selfnumbers. Volume dedicated to the memory of V. Ramaswami Aiyar. Math. Student 39 (1971), 327328 (1972). MR0330032 (48 #8371)
Makowski, Andrzej. On Kaprekar's "junction numbers''. Math. Student 34 1966 77 (1967). MR0223292 (36 #6340)
Narasinga Rao, A. On a technique for obtaining numbers with a multiplicity of generators. Math. Student 34 1966 7984 (1967). MR0229573 (37 #5147)


LINKS

Jayanta Basu and Donovan Johnson, Table of n, a(n) for n = 1..10000 (first 1000 terms from Jayanta Basu)
Index entries for Colombian or self numbers and related sequences


EXAMPLE

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.


MAPLE

For Maple code see A230093.  N. J. A. Sloane, Oct 11 2013


MATHEMATICA

co[n_] := Count[Range[n  1], _?(# + Total[IntegerDigits[#]] == n &)]; Select[Range[100], co[#] == 1 &]
Select[Tally[Table[m+Total[IntegerDigits[m]], {m, 100}]], #[[2]]==1&][[All, 1]]// Sort (* Harvey P. Dale, Aug 23 2017 *)


PROG

(Haskell)
a225793 n = a225793_list !! (n1)
a225793_list = filter ((== 1) . a230093) [1..]
 Reinhard Zumkeller, Oct 11 2013


CROSSREFS

Cf. A007953, A062028, A004207, A230093, A003052, A176995, A230094.
Sequence in context: A097660 A238898 A176995 * A154809 A153170 A067030
Adjacent sequences: A225790 A225791 A225792 * A225794 A225795 A225796


KEYWORD

nonn,base


AUTHOR

Jayanta Basu, Jul 27 2013


STATUS

approved



