catalans modulo

Hélène Lenormand hlne.lenormand at voonoo.net
Tue Feb 5 11:56:33 CET 2002



Let be the Catalan's numbers defined by

c(1)=1, (n+1).c(n+1)=2.(2n-1).c(n).

For n>1, if (n+1) modulo 6 = 1 or 5, then (c(n) modulo (n+1))=0.

Beginning of c(n) modulo (n+1), n>0:

1  1  2  0  2  0  4  6  0  0  8  0  0  10  8  0  0  0  0  0  0  0 ..... 

(sequence not in EOIS)

Are there others n with  c(n) modulo (n+1) not zero ?

Claude lenormand (e-mail: hlne.lenormand at voonoo.net)





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