A378612 - cp's OEIS frontend

A378612 a(n) = Sum_{k=0..n} binomial(3n+k-1,k) binomial(n-1,n-k).

n	a(n)
0	1
1	3
2	27
3	264
4	2703
5	28443
6	304740
7	3306852
8	36225519
9	399755001
10	4437142467
11	49485052224
12	554059164036
13	6224177431332
14	70120015345512
15	791898021185484
16	8962485528377583
17	101626868754849381
18	1154295872365035537
19	13130360954151723480
20	149562006735075309783

[1, 3, 27, 264, 2703, 28443, 304740, 3306852, 36225519, 399755001, 4437142467, 49485052224, 554059164036, 6224177431332, 70120015345512, 791898021185484, 8962485528377583, 101626868754849381, 1154295872365035537, 13130360954151723480, 149562006735075309783]

cp's OEIS Frontend

A378612 a(n) = Sum_{k=0..n} binomial(3n+k-1,k) binomial(n-1,n-k).

Table of values

List of values

cp's OEIS Frontend

A378612 a(n) = Sum_{k=0..n} binomial(3*n+k-1,k) * binomial(n-1,n-k).

Table of values

List of values

A378612 a(n) = Sum_{k=0..n} binomial(3n+k-1,k) binomial(n-1,n-k).