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Old 2020-10-31, 07:12   #1
R2357
 
"Ruben"
Oct 2020
Nederland

2×19 Posts
Smile This one isn't in the OEIS

Hello,

New puzzle that I thought up :

What sequence's representation starts with 5, 16, 361.

It's not in the online encyclopedic integer sequences, so you will have to think a bit, then again, it's not quite challenging :)
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Old 2021-01-12, 23:14   #2
TrojH
 
Jan 2021

18 Posts
Default

Hello. Newbie here.


Looks pretty easy to me:


(5-1)^2=16
(5+16-2)^2=361
(5+16+361-3)^2=143641


The (n+1)st term is the sum of the first n terms, minus n, all squared. Done.


Actually, I'm guessing this wasn't what you had in mind at all. :-P I'm posting this mostly in the hope that you will spoil at this point, since you apparently have stumped everyone for a couple of months now. :-)
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