cp's OEIS Frontend

A299484 Irregular triangle read by rows in which T(n,k) is the number of cells in the k-th level of the diagram of the symmetric representation of sigma(n).

%I A299484 #29 Jun 19 2019 17:56:17
%S A299484 1,2,1,2,2,2,3,2,2,2,2,2,3,4,3,2,2,2,2,2,2,4,5,2,2,2,2,4,3,2,2,2,4,6,
%T A299484 2,2,2,2,2,2,2,2,2,2,5,6,7,4,2,2,2,2,2,2,2,2,2,2,2,4,6,4,2,2,2,2,2,3,
%U A299484 6,5,2,2,2,2,2,2,4,8,7,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,8,9,6,2,2,2,2,2
%N A299484 Irregular triangle read by rows in which T(n,k) is the number of cells in the k-th level of the diagram of the symmetric representation of sigma(n).
%C A299484 If n is an odd prime p then row n has length (p + 1)/2 and all terms in row n are 2's.
%C A299484 For more information about the diagram of the symmetric representation of sigma(n) see A237593 and other related sequences.
%H A299484 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%e A299484 Triangle begins:
%e A299484 1;
%e A299484 2, 1;
%e A299484 2, 2;
%e A299484 2, 3, 2;
%e A299484 2, 2, 2;
%e A299484 2, 3, 4, 3;
%e A299484 2, 2, 2, 2;
%e A299484 2, 2, 4, 5, 2;
%e A299484 2, 2, 2, 4, 3;
%e A299484 2, 2, 2, 4, 6, 2;
%e A299484 2, 2, 2, 2, 2, 2;
%e A299484 2, 2, 2, 5, 6, 7, 4;
%e A299484 2, 2, 2, 2, 2, 2, 2;
%e A299484 2, 2, 2, 2, 4, 6, 4, 2;
%e A299484 2, 2, 2, 2, 3, 6, 5, 2;
%e A299484 2, 2, 2, 2, 2, 4, 8, 7, 2;
%e A299484 2, 2, 2, 2, 2, 2, 2, 2, 2;
%e A299484 2, 2, 2, 2, 2, 4, 8, 9, 6, 2;
%e A299484 2, 2, 2, 2, 2, 2, 2, 2, 2, 2;
%e A299484 ...
%Y A299484 Row sums give A000203.
%Y A299484 Row n has length A008619(n).
%Y A299484 Column 1 is A040000.
%Y A299484 Cf. A196020, A235791, A236104, A237048, A237270, A237271, A237591, A237593, A244050, A245092, A249351, A262611, A262626, A281010, A296508.
%K A299484 nonn,tabf
%O A299484 1,2
%A A299484 _Omar E. Pol_, Feb 22 2018