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%I #15 Feb 04 2013 16:32:18
%S 0,0,0,0,3,0,5,0,7,7,9,0,11,11,13,0,15,15,17,15,19,20,0,22,22,24,22,
%T 26,26,28,0,30,30,32,30,34,35,30,37,37,39,40,0,42,42,44,42,46,46,48,
%U 42,50,51,50,53,54,0,56,56,58,56,60,61,56,63,63,65,66,56,68,68,70,68,72,72,74,75,0
%N n minus the number of parts in the n-th region of the set of partitions of j, if 1<=n<=A000041(j), with a(0) = 0.
%C a(0) = 0 iff n is a partition number A000041, n >= 1.
%C a(n) is also the number of zeros in the n-th row of triangle A186114 and also of triangle A193870, n >= 1.
%C a(n) is also the value of the index "i" mentioned in the definition of "regions of the set of partitions" in A206437.
%F a(n) = n - A194446(n) = n - A141285(n) + A194447(n).
%F a(n+1) = a(n+2) = n, if a(n) = 0 and n >= 7.
%Y Cf. A135010, A141285, A194446, A186114, A193870, A194447, A206437.
%K nonn
%O 0,5
%A _Omar E. Pol_, Jan 27 2013