Math Puzzle: What does this list of numbers and letters represent?

[Wowbagger]

This is a list of values I had generated, while preparing some... "mathematically interesting"... material for my upcoming birthday party. (I was born on March 10, 1977.)

The first person to figure out what it is gets a "prize" of some sort.

101010
1120
222
132
110
60
52
46
42
39
36
33
30
2C
2A
28
26
24
22
20
1K
1J
1I
1H
1G
1F
1E
1D
1C
1B
1A
19
18
17
16
15
14
13
12
11
10


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[Lothian]

This is a list of values I had generated, while preparing some... "mathematically interesting"... material for my upcoming birthday party. (I was born on March 10, 1977.)

The first person to figure out what it is gets a "prize" of some sort.

101010
1120
222
132
110
60
52
46
42
39
36
33
30
2C
2A
28
26
24
22
20
1K
1J
1I
1H
1G
1F
1E
1D
1C
1B
1A
19
18
17
16
15
14
13
12
11
10


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Age in bases

 

[Wowbagger]

Age in bases

Well, that was fast. Now, I have to figure out what the prize will be.

For an added challenge, what would be the NEXT item in the list?!

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[MEequalsIxR]

G I believe.

 

[Wowbagger]

G I believe.

Why "G"? It would seem to be only be the 17th numeric symbol, near as I can tell.

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[MEequalsIxR]

I should have said g, assuming uppercase follows the numerics and lowercase follows upper.

 

[pgwenthold]

I'm trying to figure out how you go from 60 to 52 to 46. If that's base 9, 10 and 11 they aren't equal. Is there supposed to be a pattern as well?

But then you go with 39, 36, 33 and 30 and they are all the same.

 

[BowlOfRed]

I'm trying to figure out how you go from 60 to 52 to 46. If that's base 9, 10 and 11 they aren't equal. Is there supposed to be a pattern as well?

Bases 7, 8, and 9.

But then you go with 39, 36, 33 and 30 and they are all the same.

Bases 11, 12, 13, and 14

 

[casebro]

If he thinks that is counting he is way off base.

 

[Wowbagger]

I should have said g, assuming uppercase follows the numerics and lowercase follows upper.

Ah, that makes more sense. That is an acceptable possible answer.


For my own project, I decided to use Greek letters to keep things less confusing. In that case, it would be the letter "eta", which in lowercase is: η

 

[Wowbagger]

I'm trying to figure out how you go from 60 to 52 to 46. If that's base 9, 10 and 11 they aren't equal. Is there supposed to be a pattern as well?

But then you go with 39, 36, 33 and 30 and they are all the same.

For those that are confused, here is the base for each line:

02: 101010
03: 1120
04: 222
05: 132
06: 110
07: 60
08: 52
09: 46
10: 42 (duh!)
11: 39
12: 36
13: 33
14: 30
15: 2C
16: 2A
17: 28
18: 26
19: 24
20: 22
21: 20
22: 1K
23: 1J
24: 1I
25: 1H
26: 1G
27: 1F
28: 1E
29: 1D
30: 1C
31: 1B
32: 1A
33: 19
34: 18
35: 17
36: 16
37: 15
38: 14
39: 13
40: 12
41: 11
42: 10

 

[catsmate]

I should have said g, assuming uppercase follows the numerics and lowercase follows upper.

Maybe go Greek?

 

[Crossbow]

The answer is:

42₁₀

Great puzzle and great number.

Also, please have a good birthday in March.

 

[pgwenthold]

Bases 7, 8, and 9.



Bases 11, 12, 13, and 14

Duh

My problem was that I saw your birthday (1977) and said, ok, he's 52.....

 

[Wowbagger]

Duh

My problem was that I saw your birthday (1977) and said, ok, he's 52.....

I shall be 42!

My favorite number, for some totally mysterious reason.

 

[MEequalsIxR]

Maybe go Greek?

Some do. I can't seem to find any real standard. Bases 32 and 64 seem to have a convention but it doesn't appear to be universal and those would be the ones most used I would thing - maybe base 60 a little.

 

[smartcooky]

I shall be 42!

My favorite number, for some totally mysterious reason.

...because its the result when you multiply 7 by 9?

 

[Brainster]

...because its the result when you multiply 7 by 9?

And subtract 21?

 

[BowlOfRed]

And subtract 21?

That's not in the text...

 

[smartcooky]

And subtract 21?

Err no.

It should have been 6 x 9 so subtract 12