login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of partitions of n into odd parts with some part repeated.
1

%I #6 Jan 29 2020 14:51:14

%S 0,0,1,1,1,2,3,4,4,6,8,10,12,15,19,23,27,33,41,48,57,68,81,95,111,130,

%T 153,178,206,239,278,320,367,423,486,556,635,725,827,941,1067,1211,

%U 1374,1553,1753,1980,2232,2512,2823,3171,3560,3990,4465,4995,5585,6234,6951,7749

%N Number of partitions of n into odd parts with some part repeated.

%C Also number of partitions of n into distinct parts with at least one even part.

%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>

%F a(n) = A000009(n) - A000700(n).

%e a(6) = 3 because we have [3, 3], [3, 1, 1, 1] and [1, 1, 1, 1, 1, 1].

%Y Cf. A000009, A000700, A047967, A261982, A331849.

%K nonn

%O 0,6

%A _Ilya Gutkovskiy_, Jan 29 2020