A180364 - cp's OEIS frontend

A180364 a(n) = sum_{k=0..n} C(n,k)C(n+k,k)(2k+1)^2, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).

n	a(n)
0	1
1	19
2	205
3	1839
4	14961
5	114483
6	839917
7	5975455
8	41524897
9	283272723
10	1903686093
11	12636115407
12	83007985425
13	540484102707
14	3492471392493
15	22418010385983
16	143062290575937
17	908253002030355
18	5739641232682957
19	36121371405797743
20	226475167518421681

[1, 19, 205, 1839, 14961, 114483, 839917, 5975455, 41524897, 283272723, 1903686093, 12636115407, 83007985425, 540484102707, 3492471392493, 22418010385983, 143062290575937, 908253002030355, 5739641232682957, 36121371405797743, 226475167518421681]

cp's OEIS Frontend

A180364 a(n) = sum_{k=0..n} C(n,k)C(n+k,k)(2k+1)^2, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).

Table of values

List of values

cp's OEIS Frontend

A180364 a(n) = sum_{k=0..n} C(n,k)*C(n+k,k)*(2*k+1)^2, where C(m,k) denotes the binomial coefficient m!/(k!*(m-k)!).

Table of values

List of values

A180364 a(n) = sum_{k=0..n} C(n,k)C(n+k,k)(2k+1)^2, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).