[seqfan] Large recurrences with small coefficients

Ron Hardin rhhardin at att.net
Mon Mar 21 14:15:15 CET 2011


Some partition-related empirical linear recurrences that might factor

https://oeis.org/A188123
a(n)=2*a(n-1)-a(n-3)-a(n-4)+2*a(n-6)-a(n-7)

https://oeis.org/A188124
a(n)=2*a(n-1)-a(n-3)-2*a(n-5)+2*a(n-6)+a(n-8)-2*a(n-10)+a(n-11)

https://oeis.org/A188125
a(n)=2*a(n-1)-a(n-3)-a(n-5)+2*a(n-8)-a(n-11)-a(n-13)+2*a(n-15)-a(n-16)

https://oeis.org/A188126
a(n)=2*a(n-1)-a(n-3)-a(n-5)+a(n-6)-2*a(n-7)+2*a(n-8)+a(n-9)-a(n-13)-2*a(n-14)+2*a(n-15)-a(n-16)+a(n-17)+a(n-19)-2*a(n-21)+a(n-22)


https://oeis.org/A188127
a(n)=2*a(n-1)-a(n-3)-a(n-5)+a(n-6)-a(n-7)+a(n-9)+a(n-10)+a(n-12)-2*a(n-13)-2*a(n-16)+a(n-17)+a(n-19)+a(n-20)-a(n-22)+a(n-23)-a(n-24)-a(n-26)+2*a(n-28)-a(n-29)


tabl https://oeis.org/A188122
T(n,k)=Number of strictly increasing arrangements of n nonzero numbers in 
-(n+k-2)..(n+k-2) with sum zero 



 rhhardin at mindspring.com
rhhardin at att.net (either)




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