[seqfan] Re: What sequence number?

Robert G. Wilson v rgwv at rgwv.com
Thu Jun 5 23:23:56 CEST 2014


Thanx, Bob.

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Giovanni Resta
Sent: Thursday, June 05, 2014 4:55 PM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: What sequence number?

On 06/05/2014 10:27 PM, Robert G. Wilson v wrote:

> Least leg length of a Pythagorean Triangle, not necessarily Primitive, 
> such that the difference between the hypotenuse and this leg is n.

The resulting sequence from the definition above should be
A193800	Least m > 0 such that (n+m)^2 - m^2 (= n^2 + 2*m*n) is a square.

However, similar definitions are

A055527	Shortest other leg of a Pythagorean triangle with n as length of 
a leg.

and the recent:

A242219	Smallest a(n) in Pythagorean triple (a, b, c) such that c(n) - 
b(n) = n.

Giovanni


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