login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A288326 Number of Dyck paths of semilength n such that each positive level has exactly ten peaks. 2
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 594, 10296, 84084, 378378, 1009008, 1633632, 1575288, 831402, 184756, 0, 121, 13794, 686070, 19744296, 375698466, 5114697588, 52484019588, 421146343332, 2715042399498, 14352204442576 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,22
LINKS
MAPLE
b:= proc(n, k, j) option remember;
`if`(n=j, 1, add(b(n-j, k, i)*(binomial(i, k)
*binomial(j-1, i-1-k)), i=1..min(j+k, n-j)))
end:
a:= n-> `if`(n=0, 1, b(n, 10$2)):
seq(a(n), n=0..45);
MATHEMATICA
b[n_, k_, j_] := b[n, k, j] = If[n == j, 1, Sum[b[n - j, k, i]*(Binomial[i, k]*Binomial[j - 1, i - 1 - k]), {i, 1, Min[j + k, n - j]}]];
a[n_] := If[n == 0, 1, b[n, 10, 10]];
Table[a[n], {n, 0, 45}] (* Jean-François Alcover, Jun 02 2018, from Maple *)
CROSSREFS
Column k=10 of A288318.
Cf. A000108.
Sequence in context: A265978 A263184 A370087 * A260583 A079915 A185656
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 07 2017
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 21 01:42 EDT 2024. Contains 371850 sequences. (Running on oeis4.)