Fubini Number Calculator

Weak orderings of [n]

All Tools

n (0–12)

a(6) = Σ S(n,k)·k!

4,683

Breakdown by tiers

k=1S·k!=1×11

k=2S·k!=31×262

k=3S·k!=90×6540

k=4S·k!=65×241560

k=5S·k!=15×1201800

k=6S·k!=1×720720

Sequence

a(0)1

a(1)1

a(2)3

a(3)13

a(4)75

a(5)541

a(6)4,683

Loading tool...

About Fubini Number Calculator

A Fubini number calculator computing a(n) = Σ_{k=0}^{n} S(n,k)·k! where S=Stirling second kind. a(0)=1, a(1)=1, a(2)=3, a(3)=13, a(4)=75. Counts weak orderings, preferential arrangements, surjections. Client-side.

Fubini Number Calculator Features

a(n) value
Sequence
Weak orderings
Stirling sum
Growth rate

More Calculators Tools

Explore all 639 other calculators tools available on Generatr

View all 639 calculators tools