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A040114 List of absolute values of differences between digits of 10, 11, 12, ..., listed digit by digit. 5
1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,4

COMMENTS

Start with the empty sequence. For n = 10, 11, 12, ... do the following. Let the decimal expansion of n be abcd...efg, say. Append the numbers |a-b|, |b-c|, |c-d|, ... |e-f|, |f-g| to the sequence.

The offset is slightly misleading since for n > 99 the index n is in no direct relation with the number whose digits are used to produce a(n), in contrast to A040115 where all digit-differences of n are concatenated, and leading zeros don't appear. For example, a(100) = 1 and a(101) = 0 are the two differences between the digits of 100. Similarly, a(100 + 2k) corresponds to the difference between first and second digit of 100 + k. Therefore, a(120) = 0. - M. F. Hasler, Nov 09 2019

LINKS

T. D. Noe, Table of n, a(n) for n = 10..1902

EXAMPLE

From M. F. Hasler, Nov 09 2019: (Start)

The first term is the difference between digits of 10, which is 1.

The second term is the difference between digits of 11, which is 0.

The 100th term is the difference between the first two digits of 100, 1-0 = 1.

The 101st term is the difference between the last two digits of 100, 0-0 = 0.

The 120th term is the difference between the first two digits of 110, 1-1 = 0: Here "leading zeros" are preserved, in contrast to A040115 where all digit-wise differences of any n are concatenated to one term, and leading zeros disappear.

(End)

When we reach n = 371, for example, we append 4 and 6 to the sequence.

CROSSREFS

Cf. A037904, A040115, A040163, A040997.

Sequence in context: A297330 A037904 A070615 * A064834 A040163 A113608

Adjacent sequences:  A040111 A040112 A040113 * A040115 A040116 A040117

KEYWORD

nonn,base

AUTHOR

Felice Russo

EXTENSIONS

Definition clarified by N. J. A. Sloane, Aug 19 2008.

Name edited by M. F. Hasler, Nov 09 2019

STATUS

approved

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Last modified April 7 11:07 EDT 2020. Contains 333301 sequences. (Running on oeis4.)