A277287 - cp's OEIS frontend

A277287 a(n) = binomial(2n,n) + Sum_{k=1..n} binomial(2n-k,n-k)*Fibonacci(k).

n	a(n)
0	1
1	3
2	10
3	36
4	133
5	499
6	1891
7	7217
8	27690
9	106680
10	412368
11	1598358
12	6209542
13	24171004
14	94246202
15	368022472
16	1438965885
17	5632870627
18	22072920103
19	86575738469
20	339860843589
21	1335186464195
22	5249164967309
23	20650056413491
24	81285516680103

[1, 3, 10, 36, 133, 499, 1891, 7217, 27690, 106680, 412368, 1598358, 6209542, 24171004, 94246202, 368022472, 1438965885, 5632870627, 22072920103, 86575738469, 339860843589, 1335186464195, 5249164967309, 20650056413491, 81285516680103]

cp's OEIS Frontend

A277287 a(n) = binomial(2n,n) + Sum_{k=1..n} binomial(2n-k,n-k)*Fibonacci(k).

Table of values

List of values

cp's OEIS Frontend

A277287 a(n) = binomial(2*n,n) + Sum_{k=1..n} binomial(2*n-k,n-k)*Fibonacci(k).

Table of values

List of values

A277287 a(n) = binomial(2n,n) + Sum_{k=1..n} binomial(2n-k,n-k)*Fibonacci(k).