Special numbers

Bell numbers

• Bell numbers

Bernoulli numbers

• Bernoulli numbers and Riemann zeta
• Inverting a power series
• Sums of consecutive powers
• Bernoulli numbers and trig functions

Partition numbers

• Partition numbers and Ramanujan’s approximation

Heegner numbers

• Heegner numbers and almost integers
• Number of feet in a mile

Stirling numbers

• Stirling numbers, including negative arguments
• Log-concave coefficients

Harmonic numbers

• Computing harmonic numbers
• Numerators of harmonic numbers

Tetrahedral numbers

• Tetrahedral numbers

Catalan numbers

• How many ways can you parenthesize an expression?
• Number of digits in Catalan numbers

Fibonacci numbers

• Distribution of Fibonacci numbers mod m
• Inverse Fibonacci numbers
• Fibonacci / Binomial coefficient identity
• Fibonacci numbers and orthogonal polynomials

Lucas numbers

• Lucas numbers and Lucas pseudoprimes
• Miles to kilometers