[seqfan] Re: A216607, A232091.

Lars Blomberg lars.blomberg at visit.se
Thu Jan 9 18:24:01 CET 2014


The equation (1) is true for all n < 10^9.

Regards
/Lars Blomberg

-----Ursprungligt meddelande----- 
From: L. Edson Jeffery 
Sent: Thursday, January 09, 2014 6:02 AM 
To: seqfan at list.seqfan.eu 
Subject: [seqfan] A216607, A232091. 

The formula for A216607 is

a(n) = floor((1/4)*ceil(sqrt(4*n))^2) - n  (n>0),

and the formula for A232091 is

b(n) = ceiling(n/ceiling(sqrt(n)))*ceiling(sqrt(n))  (n>0).

Could someone please (try to) find the least n for which

(1) a(n) = b(n) - n

does not hold and let me know which n it is?

If (1) is not true, then I want to submit the sequence {b(n) - n} since it
is related to A232091.

Thanks,

Ed Jeffery

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