| Chronology
 The 50 functions are here listed in order of the year
of their conception.
They are dated from published sources and, absent that, from memory.
 
| 1962 | 0. | Array Logic [8a] |  | 1963 | 5. | Parentheses Nesting [22] |  | 1967 | 8. | Pascal’s Triangle [33] |  | 1968 | 4. | Bar Chart [19] |  |  | 21. | Permutation Index [75] |  | 1971 | 6. | Perfect Shuffle [14] |  | 1975 | 28. | Odometer |  | 1976 | 27. | moo |  | 1979 | 30. | Dyadic Transpose [92] |  | 1980 | 20. | Inverse Permutation [3b] |  | 1981 | 19. | Permutations [70] |  |  | 22. | Combinations [70] |  |  | 25. | N Queens Problem [70] |  |  | 41. | Cholesky Decomposition [116] |  |  | 47. | Pyramigram [129] |  | 1982 | 2. | A Short Average [14] |  | 1987 | 12. | Cayley’s Theorem [49a] |  |  | 13. | Symmetries of the Square [49a] |  |  | 14. | Interval Index [49b] |  |  | 29. | Array Indexing [49e] |  |  | 35. | Transitive Closure [49b] |  | 1989 | 1. | On Average |  | 1990 | 9. | Golden Ratio [34b] |  |  | 11. | Inner Product [45] |  | 1992 | 33. | Josephus Problem [101] |  |  | 39. | Ackermann’s Function [101] |  | 1993 | 7. | Quicksort |  | 1995 | 43. | Stirling Numbers [119] |  |  | 44. | Chinese Remainder Theorem [121] |  | 1996 | 42. | Minors |  | 2003 | 24. | Symmetric Array [82] |  | 2004 | 38. | Tower of Hanoi [107] |  | 2005 | 15. | Central Limit Theorem [135] |  |  | 23. | Combination Index [79] |  |  | 34. | Repeated Squaring [102] |  |  | 36. | Fibonacci Numbers [43] |  |  | 37. | Gray Code [106] |  | 2006 | 16. | A Memo Operator [59] |  |  | 48. | Monty Hall Problem [133] |  | 2007 | 10. | Newton’s Method [44] |  |  | 18. | 88 Hats [67] |  |  | 31. | Inverted Table Index-Of [94] |  | 2009 | 17. | 1729 [63] |  | 2010 | 26. | Knight’s Tour [86] |  |  | 32. | Fast Multiplication [97] |  |  | 45. | Euler’s Identity [125] |  |  | 49. | Bring Something Beautiful [134] |  | 2014 | 3. | Index-Of Selfie [15] |  | 2016 | 40. | Halting Problem [110] |  |  | 46. | 50847534 [127] |  |