# [seqfan] Re: Generally known (to those who know of such things)

franktaw at netscape.net franktaw at netscape.net
Fri Nov 20 19:04:34 CET 2009

What are you actually computing here?  I get sequence v starting

4,56,220,1140

not

4,28,66,190

v(7) = 1*6 + 2*5 + 3*4 + 4*3 + 5*2 + 6*1 + 7*0 =
6+10+12+12+10+6+0 = 56.

-----Original Message-----
From: Meeussen Wouter (bkarnd) <wouter.meeussen at vandemoortele.com>

I don't understand, again, why the primes (p1) of form 4n+1 differ in
behaviour from those (p3) of form 4n+3 in the following:

u=Sum=1..p1;  k (p1-k) ) is strictly increasing in function of p1, while
v=Sum(k=1..p3;  k (p3-k) ) is not (in function of p3).

v is descending from v(37) to v(38)
{4, 28, 66, 190, 322, 558, 946, 1316, 1888, 2278, 2982, 3476, 3652,
5768, 5992, 8636, 9170, 10008, 12382, 13366, 15698,
16826, 20628, 21492, 22788, 26314, 26786, 32026, 33132, 37872, 39566,
40752, 47892, 54114, 55608, 61766, 71082, 70464

I checked 'u' way up to 10,000 and found no 'drops'.

Wouter.
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