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A176995 Numbers that can be written as (m + sum of digits of m) for some m. 17
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

(PARI) is_A003052(n)={for(i=1, min(n\2, 9*#digits(n)), sumdigits(n-i)==i && return); n} \\ from A003052

isok(n) = ! is_A003052(n) \\ Michel Marcus, Aug 20 2020

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 September 24 21:01 EDT 2020. Contains 337321 sequences. (Running on oeis4.)