Schroeder Number Calculator

Paths below diagonal

All Tools

n (0–20)

Large S(10)

1,037,718

Small s(10)

518,859

Sequence

n=0S=1s=1

n=1S=2s=1

n=2S=6s=3

n=3S=22s=11

n=4S=90s=45

n=5S=394s=197

n=6S=1,806s=903

n=7S=8,558s=4,279

n=8S=41,586s=20,793

n=9S=206,098s=103,049

n=10S=1,037,718s=518,859

Loading tool...

About Schroeder Number Calculator

A Schröder number calculator computing large S(n) and small s(n). Large Schröder: lattice paths (0,0)→(n,n) with R,U,D steps, never crossing the diagonal. s(n) = S(n)/2 for n≥1. S(n): 1,2,6,22,90,394... Client-side.

Schroeder Number Calculator Features

Large S(n)
Small s(n)
Sequence
Path counting
Catalan comparison

More Calculators Tools

Explore all 639 other calculators tools available on Generatr

View all 639 calculators tools