[seqfan] A family of quadratic recurrences

Jaume Oliver i Lafont joliverlafont at gmail.com
Wed Sep 30 19:31:55 CEST 2009


Hello Seqfans,

In the family of quadratic recurrences defined by
a(n)=sum(i=1,L-1,a(n-i)*sum(j=i,L-1,a(n-j)))/a(n-L), with L initial ones,
I have not been able to find any noninteger value.

Do these recurrences yield only integers? For any L>=2?

This search is related to sequence
http://research.att.com/~njas/sequences/A165896,
which is the case L=4.

Regards,
Jaume




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