A065096 - cp's OEIS frontend

A065096 Sums of lists produced by a variant of the iteration that produces the Catalan numbers: start with 0 and at each iteration replace each integer k with the list 0,1,...,k-1,k,k+1,k,k-1,...,1,0 and let a(n) be the sum of the resulting (flattened) list after n iterations.

n	a(n)
0	0
1	1
2	6
3	31
4	156
5	785
6	3978
7	20335
8	104856
9	545073
10	2854350
11	15046383
12	79787700
13	425360481
14	2278586898
15	12259138975
16	66216193968
17	358941938849
18	1952111592342
19	10648449309823
20	58245727453260
21	319406931168241
22	1755674399021466
23	9671384910586511

[0, 1, 6, 31, 156, 785, 3978, 20335, 104856, 545073, 2854350, 15046383, 79787700, 425360481, 2278586898, 12259138975, 66216193968, 358941938849, 1952111592342, 10648449309823, 58245727453260, 319406931168241, 1755674399021466, 9671384910586511]

cp's OEIS Frontend

A065096 Sums of lists produced by a variant of the iteration that produces the Catalan numbers: start with 0 and at each iteration replace each integer k with the list 0,1,...,k-1,k,k+1,k,k-1,...,1,0 and let a(n) be the sum of the resulting (flattened) list after n iterations.

Table of values

List of values