A265096 - cp's OEIS frontend

A265096 a(n) = Sum_{k=0..n} p(k)*q(k), where p(k) = partition numbers (A000041) and q(k) = partition numbers into distinct parts (A000009).

n	a(n)
0	1
1	2
2	4
3	10
4	20
5	41
6	85
7	160
8	292
9	532
10	952
11	1624
12	2779
13	4597
14	7567
15	12319
16	19711
17	30997
18	48707
19	75167
20	115295
21	175487
22	264665
23	395185
24	587335
25	865371
26	1267311
27	1845231
28	2670627
29	3839267
30	5498051
31	7824331
32	11080441
33	15624505
34	21927225
35	30633780
36	42642416

[1, 2, 4, 10, 20, 41, 85, 160, 292, 532, 952, 1624, 2779, 4597, 7567, 12319, 19711, 30997, 48707, 75167, 115295, 175487, 264665, 395185, 587335, 865371, 1267311, 1845231, 2670627, 3839267, 5498051, 7824331, 11080441, 15624505, 21927225, 30633780, 42642416]

cp's OEIS Frontend

A265096 a(n) = Sum_{k=0..n} p(k)*q(k), where p(k) = partition numbers (A000041) and q(k) = partition numbers into distinct parts (A000009).

Table of values

List of values