I can't crack an equatable relevance though. The even sets are symmetrical numeric strings and the odds are variations of of all 9 numbers with the 8 and 7 swapping the 2 and 3. Considering the pattern is infinite and these are the only 4 sets we encounter, I was hoping I could crack some constant between them. You got anything?
I knew these sequences and i wonked on them for other reasons for a month. They can be more useful for other things than to answer somebody who asks about that... ;) Believe me!!!
I know! 123456789: Taking the natural numbers series to the (1+4n) exponents (yes, the expoents 1, 5, 9, ...), [n is an non negative integer number], the sequence formed by the unity algarisms of the results is this one.
149656941: The same way, but now the exponents are of the form (2+4n) [yes, 2, 6, 10, ...]
Ha! Took me a second to figure it out! very interesting how it loops back around like that... very interesting
ReplyDeleteFinally someone figured it out!! =D
ReplyDeleteI can't crack an equatable relevance though. The even sets are symmetrical numeric strings and the odds are variations of of all 9 numbers with the 8 and 7 swapping the 2 and 3. Considering the pattern is infinite and these are the only 4 sets we encounter, I was hoping I could crack some constant between them. You got anything?
ReplyDeleteStupid numbers... i love these sequences...
ReplyDelete149656941 it's a "palindromo" number
123456789
the second line 1^2 2^2
the third line 1^3 2^3
the fourth line 1^4...
you have taken only the units...
sorry for my bad english...
Now if someone asks you what is the last number of a any X^N, you can answer without thinking too much! :P
ReplyDeleteI knew these sequences and i wonked on them for other reasons for a month. They can be more useful for other things than to answer somebody who asks about that... ;) Believe me!!!
ReplyDeleteI know!
ReplyDelete123456789: Taking the natural numbers series to the (1+4n) exponents (yes, the expoents 1, 5, 9, ...), [n is an non negative integer number], the sequence formed by the unity algarisms of the results is this one.
149656941: The same way, but now the exponents are of the form (2+4n) [yes, 2, 6, 10, ...]
187456329: Now, the exponents (3+4n)
161656161: Yes, you understood: (4+4n)
You just forgot some zeros, but it's ok...
And I give you this one: ...39779... :)
ReplyDelete