login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A287974 Number of Dyck paths of semilength n such that no level has more than ten peaks. 2
1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58785, 208010, 742873, 2674282, 9693840, 35351966, 129613793, 477477188, 1766446640, 6560091544, 24446776958, 91389820234, 342624437057, 1287886748877, 4852692487519, 18325298874477, 69344013520559 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Wikipedia, Counting lattice paths

FORMULA

a(n) = A287847(n,10).

a(n) = A000108(n) for n <= 10.

CROSSREFS

Column k=10 of A287847.

Cf. A000108.

Sequence in context: A291824 A287973 A291825 * A115140 A120588 A168491

Adjacent sequences:  A287971 A287972 A287973 * A287975 A287976 A287977

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 03 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 | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 23 16:15 EDT 2018. Contains 316529 sequences. (Running on oeis4.)