A192482 - cp's OEIS frontend

A192482 a(n) = 2^nC(n-1)-y(n), where y(n) = Sum_{i=1..n-1} (2^iC(i-1)-y(i))(2^(n-i)C(n-i-1)-y(n-i)), y(0)=0, y(1)=1 and where C(i) is the i-th Catalan number.

n	a(n)
1	1
2	3
3	10
4	51
5	286
6	1710
7	10740
8	69763
9	464822
10	3159450
11	21821516
12	152708078
13	1080452972
14	7716009724
15	55545950568
16	402649640163
17	2936600795174
18	21532660592418
19	158645924209500
20	1173875395710458
21	8719519396134596
22	64995349923442628
23	486020221692290392

[1, 3, 10, 51, 286, 1710, 10740, 69763, 464822, 3159450, 21821516, 152708078, 1080452972, 7716009724, 55545950568, 402649640163, 2936600795174, 21532660592418, 158645924209500, 1173875395710458, 8719519396134596, 64995349923442628, 486020221692290392]

cp's OEIS Frontend

A192482 a(n) = 2^nC(n-1)-y(n), where y(n) = Sum_{i=1..n-1} (2^iC(i-1)-y(i))(2^(n-i)C(n-i-1)-y(n-i)), y(0)=0, y(1)=1 and where C(i) is the i-th Catalan number.

Table of values

List of values

cp's OEIS Frontend

A192482 a(n) = 2^n*C(n-1)-y(n), where y(n) = Sum_{i=1..n-1} (2^i*C(i-1)-y(i))*(2^(n-i)*C(n-i-1)-y(n-i)), y(0)=0, y(1)=1 and where C(i) is the i-th Catalan number.

Table of values

List of values

A192482 a(n) = 2^nC(n-1)-y(n), where y(n) = Sum_{i=1..n-1} (2^iC(i-1)-y(i))(2^(n-i)C(n-i-1)-y(n-i)), y(0)=0, y(1)=1 and where C(i) is the i-th Catalan number.