A194711 - OEIS

%I #15 Sep 04 2015 07:31:10

%S 1,1,1,2,0,1,3,1,0,1,5,1,1,0,1,7,2,1,1,0,1,11,2,2,1,1,0,1,15,4,2,1,1,

%T 1,0,1

%N Triangle read by rows: T(n,k) = number of partitions or zones in the last section of the set of partitions of n that contains k as a part.

%C It appears that row n lists A000041(n)-1 together with the row n-2 of the triangle A116598, if n >= 2.

%e Triangle begins:

%e 1,

%e 1, 1,

%e 2, 0, 1,

%e 3, 1, 0, 1,

%e 5, 1, 1, 0, 1,

%e 7, 2, 1, 1, 0, 1,

%e 11, 2, 2, 1, 1, 0, 1,

%e 15, 4, 2, 1, 1, 1, 0, 1,

%Y Column 1 is A000041. Columns >= 2 are A002865.

%Y Cf. A027293, A116598, A135010, A138121, A182703, A194812.

%K nonn,tabl,more

%O 1,4

%A _Omar E. Pol_, Feb 10 2012