What is the point in sending such a big recurrence equation without a good explanation for it?

Jose Brox----- Original Message -----

From: Roger Bagula

To: true number theory ; prime numbers

Sent: Tuesday, September 30, 2003 10:58 PM

Subject: [PrimeNumbers] finite curvature of the primes [Fwd: SEQ FROM Roger L. Bagula]

-------- Original Message --------

Subject: SEQ FROM Roger L. Bagula

Date: Tue, 30 Sep 2003 16:56:09 -0400 (EDT)

From: <njas@...>

Reply-To: tftn@...

To: njas@...

CC: tftn@...

The following is a copy of the email message that was sent to njas

containing the sequence you submitted.

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This copy is just for your records. No reply is expected.

Subject: NEW SEQUENCE FROM Roger L. Bagula

%I A000001

%S A000001 0,1,0,4,0,6,1,1,6,1,2,10,3,3,3,10,2,4,9,3,10,5,4,6,21,3,22,7,6,32,5,11,7,31,5,

7,18,7,7,14,8,81,5,13,8,10,16,39,10,9,18,9,19,14,10,35,8,12,19,11,13,24,50,17,

14,35,14,128,14,16,14,22,15,35,18,15,40,16,17,34,16,73,11,40,20,17,22,70,23,

17,21,48,17,58,26,21,29,21,64,20,37,19,63,21,21,39,20,66,15,22,23,33,20,24,

215,24,23,22,38,24,107,29,30,27,39,27,31,39,26,56,23,31,57,24,44,27,43,30,64,

29,263,16,45,28,32,56,116,38,32,58,119,39,35,163,32,34,34,97,31,48,35,165,32,

49,33,58,35,148,29,60,35,152,36,36,74,36,156,45,40,86,142,37,35,55,37,57,50,

44,121,32,60,40,70,58,51,42,174,38

%N A000001 A finite curvature sequence for the primes.

%C A000001 Made as a ramp by multiplication by n.

%F A000001 Floor[n*(

0.25+(( a[[n]]-a[[n-1]])*(b[[n]]-2*b[[n-1]]+b[[n-2]])-(

b[[n]]-b[[n-1]])*(a[[n]]-2*a[[n-1]]+a[[n-2]]))/

Power[( a[[n]]-a[[n-1]])^2+( b[[n]]-b[[n-1]])^2,3/2])

%t A000001 digits=200

a=Table[Prime[n],{n,1,digits}]

b=Table[(Prime[n]-Prime[n-1]),{n,2,digits+1}]

c=Table[ Floor[

n*(0.25+(( a[[n]]-a[[n-1]])*(b[[n]]-2*b[[n-1]]+b[[n-2]])-(

b[[n]]-b[[n-1]])*(a[[n]]-2*a[[n-1]]+a[[n-2]]))/

Power[( a[[n]]-a[[n-1]])^2+( b[[n]]-b[[n-1]])^2,3/2])],{n,3,digits}]

%O A000001 3

%K A000001 ,nonn,

%A A000001 Roger L. Bagula (tftn@...), Sep 30 2003

RH

RA 209.178.182.199

RU

RI

--

Respectfully, Roger L. Bagula

tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :

URL : http://home.earthlink.net/~tftn

URL : http://victorian.fortunecity.com/carmelita/435/

[Non-text portions of this message have been removed]

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