finite sequences

[Artur]

%S A000001 0,2,-1,5,4,16,17,3,24,6,9,42,30,27,10,56,39
%N A000001 Sum of all amplitudes for each prime number defined as  
((Prime[k + n] + Prime[k - n])/2) - Prime[k] for k=3,4,5,...,  
n=1,2,..,k-3,k-2
%e A000001 a(9)=24 because sum of amplitudes {2, 1, 0, 1, 2, 4, 3, 5, 6}=24
%O A000001 1
%K A000001 ,nonn,
%A A000001 Artur Jasinski (grafix at csl.pl), Dec 23 2006


Dnia 23-12-2006 o 15:09:36 Artur <grafix at csl.pl> napisał(a):

> %S A000001 5,11,13,17,29,31,37,41,51
> %N A000001 Primes which have one or more zeroes amplitudes defined as  
> ((Prime[k + n] + Prime[k - n])/2) - Prime[k] for k=3,4,5,...,  
> n=1,2,..,k-3,k-2
> %e A000001 31 belonging because one amplitude is zero {2, 1, 0, 1, 2, 4,  
> 3, 5,
> 6}
> %O A000001 1
> %K A000001 ,nonn,
> %A A000001 Artur Jasinski (grafix at csl.pl), Dec 23 2006
>
>
>
> Dnia 23-12-2006 o 14:51:59 Artur <grafix at csl.pl> napisał(a):
>
>> %S A000001 5,7,13,19,23,31,43,47,73,83,109,113
>> %N A000001 Primes which have only non-negative amplitudes defined as  
>> ((Prime[k + n] + Prime[k - n])/2) - Prime[k] for k=3,4,5,...,  
>> n=1,2,..,k-3,k-2
>> %e A000001 31 belonging because all amplitudes are non-negative {2, 1,  
>> 0, 1, 2, 4, 3, 5,
>> 6} 29 don't belonging because some amplitudes are negative {-2, -1, 0,  
>> -1, 0, 1, 3, 3}
>> %O A000001 1
>> %K A000001 ,nonn,
>> %A A000001 Artur Jasinski (grafix at csl.pl), Dec 23 2006
>>
>>
>> Dnia 23-12-2006 o 11:42:17 Artur <grafix at csl.pl> napisał(a):
>>
>>> D%I A126244
>>> %S A126244 137, 135, 138, 132, 133, 135, 135, 137, 138, 135, 137, 136,  
>>> 135, 135, 139,
>>> 142, 143, 141, 140, 141, 141, 144, 144, 146, 146, 145, 147, 147, 147,  
>>> 150,
>>> 156, 157
>>> %N A126244 numbers which are the arithmetic mean of n-th prime > 137  
>>> and n-th prime < 137
>>> %C A126244 Number 137 is 33-th prime number. Arithmetic mean with  
>>> first prime isn't integer.
>>> %t A126244 Table[(Prime[33 + n] + Prime[33 - n])/2, {n, 0, 31}]  
>>> (*Artur Jasinski*)
>>> %Y A126244 A126243
>>> %O A126244 0
>>> %K A126244 ,fini,nonn,
>>> %A A126244 Artur Jasinski (grafix at csl.pl), Dec 23 2006
>>>
>>> __________ NOD32 Informacje 1935 (20061222) __________
>>>
>>> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
>>> http://www.nod32.com lub http://www.nod32.pl
>>>
>>
>>
>>
>> __________ NOD32 Informacje 1935 (20061222) __________
>>
>> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
>> http://www.nod32.com lub http://www.nod32.pl
>>
>
>
>
> __________ NOD32 Informacje 1935 (20061222) __________
>
> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
> http://www.nod32.com lub http://www.nod32.pl
>