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A207378 Triangle read by rows in which row n lists the parts of the last section of the set of partitions of n in nonincreasing order.

%I A207378 #19 Nov 30 2013 21:30:40
%S A207378 1,2,1,3,1,1,4,2,2,1,1,1,5,3,2,1,1,1,1,1,6,4,3,3,2,2,2,2,1,1,1,1,1,1,
%T A207378 1,7,5,4,3,3,2,2,2,1,1,1,1,1,1,1,1,1,1,1,8,6,5,4,4,4,3,3,3,2,2,2,2,2,
%U A207378 2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
%N A207378 Triangle read by rows in which row n lists the parts of the last section of the set of partitions of n in nonincreasing order.
%C A207378 Starting from the first row; it appears that the total numbers of occurrences of k in k successive rows give the sequence A000041. For more information see A182703.
%H A207378 Alois P. Heinz, <a href="/A207378/b207378.txt">Rows n = 1..23, flattened</a>
%e A207378 Written as a triangle:
%e A207378 1;
%e A207378 2,1;
%e A207378 3,1,1;
%e A207378 4,2,2,1,1,1;
%e A207378 5,3,2,1,1,1,1,1;
%e A207378 6,4,3,3,2,2,2,2,1,1,1,1,1,1,1;
%e A207378 7,5,4,3,3,2,2,2,1,1,1,1,1,1,1,1,1,1,1;
%e A207378 8,6,5,4,4,4,3,3,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1;
%Y A207378 Triangle similar to A138121. Mirror of A207377. Row n has length A138137(n). Row sums give A138879. Column 1 is A000027.
%Y A207378 Cf. A006128, A066186, A135010, A182703, A182712-A182714, A194812.
%K A207378 nonn,tabf
%O A207378 1,2
%A A207378 _Omar E. Pol_, Feb 23 2012