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Benedict Irwin edited Base 10 Master Seq.tex
over 9 years ago
Commit id: 3d0b0116ffcf67ee9b7a75b8e618ddb88827ede8
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\end{equation}
Here we can see that the pairs $2$ and $8$, and $3$ and $7$ both use the same digits, but in a different order. Certain pairs, when "folded", that is the last two digits summmed on to the respective of the first two digits, form $0000$. These pairs are, $0,2,3,5,7,8,0$. Denote these $f-pairs$.Then there are pairs where if the last two digits are swapped and then the fold is made they sum to $0000$, these are $4$ and $9$., denote these $s-pairs$. Then we have $f,.,f,f,.,f,.,f,f,.,f$, a symmetric sequence, where $.$ means not an $f-pair$.
Reading vertically we have the interesting sequences
0,1,2,3,4,5,6,7,8,9,0 [In sequence]\\
0,1,4,9,6,5,6,9,4,1,0 [Palindrome] \\
0,1,8,7,4,5,6,3,2,9,0 [Uses 1-9 once, swap 2:8 , 3:7 pairs of first seq.]\\
0,1,6,1,6,5,6,1,6,1,0 [High density of 6,1; palindrome]\\