perplexus.info :: Sequences : Non-trivial solutions

Non-trivial solutions (Posted on 2019-10-16)

3, 7, 11, ...

Please provide next 3 terms, according to some non-trivial (e.g. 15, 19, 23) definition.

No Solution Yet Submitted by Ady TZIDON

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: A few ideas & few remarks

| Comment 4 of 5 |

(In reply to A few ideas by Brian Smith)

I like the 3rd one very much, it’s original and well defined !

I will include it, inter alia, in the official solution.

3, 7, 11, 19, 31, 51, 83, ... not applicable to n<3

t(n) = t(n-1) + t(n-2) + 1

3, 7, 11, 12, 2, -40, -169, ... wrong formula, good idea

If f(n) is the nth Fibonacci number then t(n) = (n+2)^2 - f(n)

3, 7, 11, 19, 23, 31, 43, ... bravo

Primes congruent to 3 mod 4

Go get more!

Edited on October 19, 2019, 12:50 am

Posted by Ady TZIDON on 2019-10-18 09:00:52

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