conference matrices

N. J. A. Sloane njas at research.att.com
Thu Mar 13 23:19:06 CET 2008


subsequence, if n-1 is a prime power, then the sum of 2 squares
soory for quicj answer, line is very flaky
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Date: Fri, 14 Mar 2008 08:08:36 -0700 (PDT)
From: Leroy Quet <q1qq2qqq3qqqq at yahoo.com>
Subject: Happy Pi Day
To: seqfan at ext.jussieu.fr
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Today, as I am sure most of you know, is Pi Day,
March 14th, 3-14, in American date notation. (I
realize that it is already March 15th in much of
the world.)

(It also is Albert Einstein's birthday.)

In celebration, I just submitted this sequence:

%I A138324
%S A138324 7,1,159,2
%N A138324 a(n) = the second term in the simple
continued fraction of pi^n.
%F A138324 a(n) = floor(1/(pi^n - floor(pi^n))).
%Y A138324 A001672
%O A138324 1
%K A138324 ,more,nonn,

Could someone please extend this? (I don't trust
that the value of pi in my calculator is accurate
enough to do many terms myself.)

By the way, is the table {T(m,n)} already in the
EIS, where T(m,n) = the m'th term of the simple
continued fraction of pi^n?


Thanks,
Leroy Quet



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