A228822 Largest digit of n minus the number of digits of n.

-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, -1, -1, 0, 1, 2, 3, 4, 5, 6, 7, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 2, 2, 2, 2, 2, 3, 4, 5, 6, 7, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, -2

Offset

0,4

Comments

The last positive term is a(10^8-1) = a(99999999) = 1.

The last nonnegative term is a(10^9-1) = a(999999999) = 0.

The number of negative terms is infinite.

Links

Table of n, a(n) for n=0..100.

Formula

a(n) = A054055(n) - A055642(n).

Example

-------------------------------
.   Largest   Number
n    digit   of digits    a(n)
-------------------------------
9      9        1          8
10     1        2         -1
11     1        2         -1
12     2        2          0
13     3        2          1
...

Crossrefs

Cf. A054055, A055642.

Sequence in context: A031076 A346732 A321999 * A255829 A277547 A190598

Adjacent sequences: A228819 A228820 A228821 * A228823 A228824 A228825

Keyword

sign,base,easy

Author

Omar E. Pol, Sep 04 2013

Status

approved