A293467 - cp's OEIS frontend

A293467 a(n) = Sum_{k=0..n} (-1)^k * binomial(n, k) * q(k), where q(k) is A000009 (partitions into distinct parts).

n	a(n)
0	1
1	0
2	0
3	-1
4	-3
5	-7
6	-14
7	-25
8	-41
9	-64
10	-100
11	-165
12	-294
13	-550
14	-1023
15	-1795
16	-2823
17	-3658
18	-2882
19	2873
20	20435
21	62185
22	148863
23	314008
24	613957
25	1155794
26	2175823
27	4244026
28	8753538
29	19006490
30	42471787
31	95234575
32	210395407
33	453413866
34	949508390
35	1931939460

[1, 0, 0, -1, -3, -7, -14, -25, -41, -64, -100, -165, -294, -550, -1023, -1795, -2823, -3658, -2882, 2873, 20435, 62185, 148863, 314008, 613957, 1155794, 2175823, 4244026, 8753538, 19006490, 42471787, 95234575, 210395407, 453413866, 949508390, 1931939460]

cp's OEIS Frontend

A293467 a(n) = Sum_{k=0..n} (-1)^k * binomial(n, k) * q(k), where q(k) is A000009 (partitions into distinct parts).

Table of values

List of values