A356285 - cp's OEIS frontend

A356285 a(n) = Sum_{k=0..n} binomial(3n, k) q(k), where q(k) is the number of partitions into distinct parts (A000009).

n	a(n)
0	1
1	4
2	22
3	214
4	1509
5	12770
6	107884
7	874365
8	6834843
9	56722759
10	463069914
11	3666488610
12	29512199193
13	233492075573
14	1858649112464
15	14890457067926
16	117154630898329
17	917101099859767
18	7257072314543086
19	56653800922475280
20	442687465112658972
21	3467083846726752495

[1, 4, 22, 214, 1509, 12770, 107884, 874365, 6834843, 56722759, 463069914, 3666488610, 29512199193, 233492075573, 1858649112464, 14890457067926, 117154630898329, 917101099859767, 7257072314543086, 56653800922475280, 442687465112658972, 3467083846726752495]

cp's OEIS Frontend

A356285 a(n) = Sum_{k=0..n} binomial(3n, k) q(k), where q(k) is the number of partitions into distinct parts (A000009).

Table of values

List of values

cp's OEIS Frontend

A356285 a(n) = Sum_{k=0..n} binomial(3*n, k) * q(k), where q(k) is the number of partitions into distinct parts (A000009).

Table of values

List of values

A356285 a(n) = Sum_{k=0..n} binomial(3n, k) q(k), where q(k) is the number of partitions into distinct parts (A000009).