Yeah, under the assumption that all given numbers are of significance, the fifth number's sudden jump to in the millions seems inexplicable, if you would try to assign any mathematical formula to it.
So it must have a more elusive reason for its numbers, quite possibly to do with the triple 1's, the 83 and 84 as well as the obvious 12345 in the first number and the fact the second also consists out of the numbers 12345.
Just curious, but is anyone else also trying to solve these? Or am I the only one bothered enough to give it some thought? xP
I got nostalgic and just checked out these number sequences. Although the other three are still lost on me, I somehow failed to see that the one above is also the sum off the previous four encoded numbers which means that there's another inverse I missed.
Like so:
78 -> 79 -> 81 -> 84 = 78, 97(inv), 81, 48(inv)
78+97+81+48=304
304-> 305 -> 307 -> 310 = 304, 503(inv), 307, 013(inv)
304+503+307+013=1127(inv) <- that's the one I missed that explains the two jumps and makes the sequence limitless. (although there is no four numbers prior to the sequence that sums up to 87, so 78 is truly the start of the sequence.)
1127->1128(->1130->1133) = 7211(inv), 1128 (,0311(inv), 1133)
so although my previous answer seemed correct, it actually wasn't and the praise was unfortunately misplaced.
78, 97, 81, 48, 304, 503, 307, 013, 7211, 1128, (0311, 1133)
Weird that I didn't see this when I was working on this before. But I saw it fairly quickly just now. :P
"An upsidedown wire heart
Being sucked into a periscope
Still the mind is dull
Like you need another excuse"
… a theory is primarily a form of insight, i.e. a way of looking
at the world, and not a form of knowledge of how the world is….
.. all our different ways of thinking are to be considered as
different ways of looking at the one reality, each with some
domain in which it is clear and adequate…. - David Bohm