| 1 | Combinatorial Analysis and Computers | 1 |
| 2 | Two Notes on Notation | 15 |
| 3 | Bracket Notation for the 'Coefficient of' Operator | 45 |
| 4 | Johann Faulhaber and Sums of Powers | 61 |
| 5 | Notes on Thomas Harriot | 85 |
| 6 | A Permanent Inequality | 89 |
| 7 | Overlapping Pfaffians | 105 |
| 8 | The Sandwich Theorem | 123 |
| 9 | Combinatorial Matrices | 177 |
| 10 | Aztec Diamonds, Checkerboard Graphs, and Spanning Trees | 187 |
| 11 | Partitioned Tensor Products and Their Spectra | 193 |
| 12 | Oriented Subtrees of an Arc Digraph | 203 |
| 13 | Another Enumeration of Trees | 209 |
| 14 | Abel Identities and Inverse Relations | 221 |
| 15 | Convolution Polynomials | 225 |
| 16 | Polynomials Involving the Floor Function | 257 |
| 17 | Construction of a Random Sequence | 265 |
| 18 | An Imaginary Number System | 271 |
| 19 | Tables of Finite Fields | 277 |
| 20 | Finite Semifields and Projective Planes | 305 |
| 21 | A Class of Projective Planes | 345 |
| 22 | Notes on Central Groupoids | 357 |
| 23 | Huffman's Algorithm via Algebra | 377 |
| 24 | Wheels Within Wheels | 387 |
| 25 | Complements and Transitive Closures | 393 |
| 26 | Random Matroids | 405 |
| 27 | The Asymptotic Number of Geometries | 425 |
| 28 | Permutations with Nonnegative Partial Sums | 429 |
| 29 | Efficient Balanced Codes | 433 |
| 30 | The Knowlton-Graham Partition Problem | 439 |
| 31 | Permutations, Matrices, and Generalized Young Tableaux | 445 |
| 32 | Enumeration of Plane Partitions | 465 |
| 33 | A Note on Solid Partitions | 483 |
| 34 | Identities from Partition Involutions | 493 |
| 35 | Subspaces, Subsets, and Partitions | 511 |
| 36 | The Power of a Prime That Divides a Generalized Coefficient | 515 |
| 37 | An Almost Linear Recurrence | 525 |
| 38 | Recurrence Relations Based on Minimization | 537 |
| 39 | A Recurrence Related to Trees | 565 |
| 40 | The First Cycles in an Evolving Graph | 585 |
| 41 | The Birth of the Giant Component | 643 |
| Index | 793 |
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