

A337843


a(n) is n + the number of digits in the decimal expansion of n.


0



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69
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OFFSET

0,2


COMMENTS

a(n) is an increasing injective sequence that is not surjective.
a(n) is also the sequence of numbers m that can be written as (m + number of digits of m) for some m >= 0, complement of numbers from A081552(n) for n > 1.
Sequence is not the same as A101947, first different term is a(77) = 79.


LINKS

Table of n, a(n) for n=0..67.


FORMULA

a(n) = n + A055642(n).


EXAMPLE

a(10) = 10 + 2 = 12.


MATHEMATICA

a[0] = 1; a[n_] := n + IntegerLength[n]; Array[a, 100, 0] (* Amiram Eldar, Sep 25 2020 *)


PROG

(MAGMA) [1] cat [n + #Intseq(n): n in [1..100]]
(PARI) a(n) = if (n==0, 1, n + #digits(n)); \\ Michel Marcus, Sep 26 2020


CROSSREFS

Cf. A055642, A062028, A081552, A230099.
Cf. A110803 (n * the number of digits in the decimal expansion of n).
Sequence in context: A194056 A020753 A331162 * A101947 A183223 A167520
Adjacent sequences: A337840 A337841 A337842 * A337844 A337845 A337846


KEYWORD

nonn,base


AUTHOR

Jaroslav Krizek, Sep 25 2020


STATUS

approved



