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A176995 Numbers that can be written as (m + sum of digits of m) for some m. 9
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A230093(a(n)) > 0. - Reinhard Zumkeller, Oct 11 2013

REFERENCES

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)

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 79--84 (1967). MR0229573 (37 #5147)

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Self Number

Wikipedia, Self number

EXAMPLE

a(5) = 10 = 5 + (5);

a(87) = 100 = 86 + (8+6);

a(898) = 1000 = 977 + (9+7+7);

a(9017) = 10000 = 9968 + (9+9+6+8).

MATHEMATICA

Select[Union[Table[n + Total[IntegerDigits[n]], {n, 77}]], # <= 77 &] (* Jayanta Basu, Jul 27 2013 *)

PROG

(Haskell)

a176995 n = a176995_list !! (n-1)

a176995_list = filter ((> 0) . a230093) [1..]

-- Reinhard Zumkeller, Oct 11 2013, Aug 21 2011

CROSSREFS

Complement of A003052, range of A062028.

Cf. A062028, A007953, A055642, A230093.

Sequence in context: A081472 A097660 A238898 * A225793 A154809 A153170

Adjacent sequences:  A176992 A176993 A176994 * A176996 A176997 A176998

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Aug 21 2011

STATUS

approved

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Last modified August 17 11:06 EDT 2019. Contains 326057 sequences. (Running on oeis4.)