A378464 - cp's OEIS frontend

A378464 a(n) = Sum_{k=0..floor(n/3)} binomial(n+k-1,k) * binomial(2n-1,n-3k).

n	a(n)
0	1
1	1
2	3
3	13
4	63
5	306
6	1473
7	7085
8	34239
9	166459
10	813618
11	3994200
12	19678233
13	97239130
14	481740885
15	2392004853
16	11900655999
17	59312062026
18	296071376307
19	1479998924447
20	7407613846698
21	37118966710076
22	186195636158436
23	934889598483048
24	4698229684691913
25	23629859054461331

[1, 1, 3, 13, 63, 306, 1473, 7085, 34239, 166459, 813618, 3994200, 19678233, 97239130, 481740885, 2392004853, 11900655999, 59312062026, 296071376307, 1479998924447, 7407613846698, 37118966710076, 186195636158436, 934889598483048, 4698229684691913, 23629859054461331]

cp's OEIS Frontend

A378464 a(n) = Sum_{k=0..floor(n/3)} binomial(n+k-1,k) * binomial(2n-1,n-3k).

Table of values

List of values

cp's OEIS Frontend

A378464 a(n) = Sum_{k=0..floor(n/3)} binomial(n+k-1,k) * binomial(2*n-1,n-3*k).

Table of values

List of values

A378464 a(n) = Sum_{k=0..floor(n/3)} binomial(n+k-1,k) * binomial(2n-1,n-3k).