[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
which is the case L=4.


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