cp's OEIS Frontend

A207377 Triangle read by rows in which row n lists the parts of the last section of the set of partitions of n in nondecreasing order.

%I A207377 #20 Nov 30 2013 21:30:40
%S A207377 1,1,2,1,1,3,1,1,1,2,2,4,1,1,1,1,1,2,3,5,1,1,1,1,1,1,1,2,2,2,2,3,3,4,
%T A207377 6,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,5,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
%U A207377 1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,5,6,8
%N A207377 Triangle read by rows in which row n lists the parts of the last section of the set of partitions of n in nondecreasing order.
%C A207377 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 A207377 Alois P. Heinz, <a href="/A207377/b207377.txt">Rows n = 1..23, flattened</a>
%e A207377 Written as a triangle:
%e A207377 1;
%e A207377 1,2;
%e A207377 1,1,3;
%e A207377 1,1,1,2,2,4;
%e A207377 1,1,1,1,1,2,3,5;
%e A207377 1,1,1,1,1,1,1,2,2,2,2,3,3,4,6;
%e A207377 1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,5,7;
%e A207377 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,5,6,8;
%Y A207377 Triangle similar to A135010. Mirror of A207378. Row n has length A138137(n). Row sums give A138879. Right border is A000027.
%Y A207377 Cf. A000041, A006128, A066186, A138121, A182703, A182712-A182714, A194812.
%K A207377 nonn,tabf
%O A207377 1,3
%A A207377 _Omar E. Pol_, Feb 23 2012