the sequence A006743

Max relf at unn.ac.ru
Mon Oct 17 19:29:49 CEST 2005


Simon,

What method do you use to discover such recurrences?

Thanks,
Max

Simon Plouffe wrote:
> 
> 
> hello,
> 
> here is a recurrence I have for that sequence :
> 
> a(n) = (-(6 - 2 n) a(n - 1) - (33 - 7 n) a(n - 2)
> 
>      - (-60 + 12 n) a(-3 + n) - (-84 + 16 n) a(n - 4)
> 
>      - (96 - 16 n) a(n - 5) - (96 - 16 n) a(n - 6))/(-3 + n)
> 
> 
> 
>>  lprint(%);
> a(n) = 
> 1/(-3+n)*(-(6-2*n)*a(n-1)-(33-7*n)*a(n-2)-(-60+12*n)*a(-3+n)-(-84+16*n)*
> a(n-4)-(96-16*n)*a(n-5)-(96-16*n)*a(n-6)).
> 
> Simon Plouffe
> 
> 
> 
> 





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