Wolfram|Alpha Mathematics

Discrete Mathematics

Combinatorics ››

compute binomial coefficients (combinations)
30 choose 18
compute a Frobenius number
Frobenius number {4, 7, 12}
find partitions of an integer
integer partitions of 10

Graph Theory ››

compute properties of a named graph
Pappus graph
compare several graphs
Petersen graph, icosahedral graph
analyze a graph specified by adjacency rules
1->2, 2->3, 3->1, 3->4, 4->1

Point Lattices ››

compute properties of a lattice
face-centered cubic
compute properties of a root lattice
A4 root lattice
compare several lattices
simple cubic, simple hexagonal

Sequences ››

compute a possible formula and continuation for a sequence
1, 4, 9, 16, 25, ...
sum an incompletely specified infinite series
1/2 + 1/4 + 1/8 + 1/16 + ...

Recurrences ››

solve a recurrence
g(n+1)=n^2+g(n)
specify initial values
f(n)=f(n-1)+f(n-2), f(1)=1, f(2)=2
find a recurrence satisfied by a given sequence
fibonacci(n) recurrence

Ackermann Function

evaluate the Ackermann function
ackermann[2,3] what is ackermann 4,1? ack(2,ack(2,1))