A080894 - cp's OEIS frontend

A080894 Expansion of the exponential series exp( x M(x) ) = exp( (1-sqrt(1-2x-3x^2))/(2x) ), where M(x) is the ordinary generating series of the Motzkin numbers A001006.

n	a(n)
0	1
1	1
2	3
3	19
4	169
5	2001
6	29371
7	516643
8	10590609
9	248113729
10	6541248691
11	191719042131
12	6185020391353
13	217824649952209
14	8316522297035499
15	342188317852814371
16	15095509523107176481
17	710794856254145560833

[1, 1, 3, 19, 169, 2001, 29371, 516643, 10590609, 248113729, 6541248691, 191719042131, 6185020391353, 217824649952209, 8316522297035499, 342188317852814371, 15095509523107176481, 710794856254145560833]

cp's OEIS Frontend

A080894 Expansion of the exponential series exp( x M(x) ) = exp( (1-sqrt(1-2x-3x^2))/(2x) ), where M(x) is the ordinary generating series of the Motzkin numbers A001006.

Table of values

List of values