Yesterday while counting something, I realized that adding 9 to 5 five times, resulted in a numeric palindrome 05 14 23 32 41 50. A palindrome is a word that can be read the same way forwards or backwards. Today, when I glanced at the numbers I'd written down again, I wondered if it would work with another number. Sure enough, it does. Just add 9...
00
01 10
02 11 20
03 12 21 30
04 13 22 31 40
05 14 23 32 41 50
06 15 24 33 42 51 60
07 16 25 34 43 52 51 70
08 17 26 35 44 53 62 71 80
09 18 27 36 45 54 63 72 81 90
Beyond that, there's multiple additional pattern layers within the set, and the pattern renews after the first series; thus, after 01 10, you have a second numeric palindrome:
19 28 37 46 55 64 73 82 91
Again, this continues after the other sets. Aren't numbers beautiful? I am especially curious about what is special about the number 9 in these sorts of sequences.
I've played mental games with numbers since at least fifth grade when I learned to 'cast out nines' as a method of checking multiplication, division or addition problems. (Another pattern that I realized years ago is that the square of any number is +1 of the product of the number before and after it. Thus, 8x8=64, which is one more than 7x9.) Anyways, I have no idea whether there is any significance in this sort of thing or whether whoever else has found it has given it a name, but I haven't found it if there is a significance or if it does have a name!
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