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July 19th, 2018, 05:31 PM   #1
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Arrow Number Sequence 3mE

I'm adding value of the digits in a number, and I treat 0 as 1.
I have not graphed this.

I don't know a lot about math, but I seem to have a way of systematically obtaining a sequence from "normal" numbers. It goes like this:

-35 = 2
-34 = 1
-33 = 0
-32 = -1
-31 = -2
-30 = -2
-29 = 7
-28 = 6
-27 = 5
-26 = 4
-25 = 3
-24 = 2
-23 = 1
-22 = 0
-21 = -1
-20 = -1
-19 = 8
-18 = 7
-17 = 6
-16 = 5
-15 = 4
-14 = 3
-13 = 2
-12 = 1
-11 = 0
-10 = 0
-9 = -9
-8 = -8
-7 = -7
-6 = -6
-5 = -5
-4 = -4
-3 = -3
-2 = -2
-1 = -1
0 = 1
1 = 1
2 = 2
3 = 3
4 = 4
5 = 5
6 = 6
7 = 7
8 = 8
9 = 9
10 = 2
11 = 2
12 = 3
13 = 4
14 = 5
15 = 6
16 = 7
17 = 8
18 = 9
19 = 2
20 = 3
21 = 3
22 = 4
23 = 5
24 = 6
25 = 7
26 = 8
27 = 9
28 = 2
29 = 2
30 = 4
31 = 4
32 = 5
33 = 6
34 = 7
35 = 8

Has anyone come up with this sequence before? If yes, is there a name of it, or has it been categorized?
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July 19th, 2018, 07:19 PM   #2
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Throw us a bone here. How is -35 --> 2? Wouldn't the values of the digits 3 and 5 give 3 + 5 = 8?

It looks like you are treating -35 to be (-3)(5) but that isn't how you defined the process.

OEIS doesn't have it.

-Dan

Last edited by topsquark; July 19th, 2018 at 07:22 PM.
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July 20th, 2018, 07:44 AM   #3
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-35, I look at it this way -3 and 5. -3 + 5 = 2, or to make it easier 5 + (-3) = 2. Just adding the numbers that make up -35 and all other numbers that I listed.
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July 20th, 2018, 08:48 AM   #4
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Let me give some examples, so that you see better what I mean.

Lets try number -10,000. I stated that I count 0 as 1, so 4x0 I count as 4x1 = 4
Then -1 + 4 = 3

Lets try another number, 2438. 2 + 4 + 3 + 8 = 17, and then adding 1 + 7 = 8

I guess, an application of this could be, taking a year 1984 for example. 1 + 9 + 8 + 4 = 22 so that is 2 + 2 = 4

Last edited by Alamar; July 20th, 2018 at 08:59 AM.
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July 21st, 2018, 05:17 AM   #5
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1234567890 = 1+2+3+4+5+6+7+8+9+0 = 45+1 = 46: 4+6 = 10 ????????
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July 22nd, 2018, 05:31 PM   #6
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Quote:
Originally Posted by Denis View Post
1234567890 = 1+2+3+4+5+6+7+8+9+0 = 45+1 = 46: 4+6 = 10 ????????
Exactly,

1234567890 = 1+2+3+4+5+6+7+8+9+0 = 45+1 = 46: 4+6 = 10
I stated that I treat 0 as 1, so 4 + 6 = 10 = 1 + 1 = 2
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