A127745 - OEIS

%I #9 May 17 2016 05:58:55

%S 0,0,0,1,8,50,294,1717,10194,62284,394346,2597266,17827166,127575414,

%T 951411752,7386583917,59623674472,499648882838,4340548090590,

%U 39033489125836,362871600781796,3482858492844510,34471940635650958,351444263328831458

%N Counts Bell numbers (except for Catalans) associated with the partition number [n].

%C A074664 counts the Bell Numbers associated with the partition number [n]. A000108 counts the corresponding Catalan numbers and here we count the remaining Bell numbers associated with the partition number [n].

%F a(n) = A074664(n) - A000108(n-1)

%e There are 15 Bell objects when n = 4, 14 are also Catalans so a(4) = 1.

%e There are 52 Bell objects when n = 5, 42 are also Catalans; we know that 5 = 4+1 = 1+4 which accounts for two of the non-Catalan Bells so, a(5) = 52 - 42 - 2 = 8.

%Y Cf. A000041, A000108, A000110, A001399, A016098, A035300, A127743, A074664.

%K nonn,uned

%O 1,5

%A _Alford Arnold_, Feb 25 2007