A007854 - cp's OEIS frontend

A007854 Expansion of 1/(1 - 3xC(x)), where C(x) = (1 - sqrt(1 - 4x))/(2x) = g.f. for the Catalan numbers A000108.

n	a(n)
0	1
1	3
2	12
3	51
4	222
5	978
6	4338
7	19323
8	86310
9	386250
10	1730832
11	7763550
12	34847796
13	156503064
14	703149438
15	3160160811
16	14206181382
17	63874779714
18	287242041528
19	1291872728826
20	5810776384932
21	26138647551564
22	117587214581508

[1, 3, 12, 51, 222, 978, 4338, 19323, 86310, 386250, 1730832, 7763550, 34847796, 156503064, 703149438, 3160160811, 14206181382, 63874779714, 287242041528, 1291872728826, 5810776384932, 26138647551564, 117587214581508]

cp's OEIS Frontend

A007854 Expansion of 1/(1 - 3xC(x)), where C(x) = (1 - sqrt(1 - 4x))/(2x) = g.f. for the Catalan numbers A000108.

Table of values

List of values

cp's OEIS Frontend

A007854 Expansion of 1/(1 - 3*x*C(x)), where C(x) = (1 - sqrt(1 - 4*x))/(2*x) = g.f. for the Catalan numbers A000108.

Table of values

List of values

A007854 Expansion of 1/(1 - 3xC(x)), where C(x) = (1 - sqrt(1 - 4x))/(2x) = g.f. for the Catalan numbers A000108.