Bell’s triangle
Bell’s triangle or Aitken’s array or Peirce triangle is a triangular arrangement of integers in which the top row has a single 1, and each subsequent row begins with the last number of the previous row, and each remaining number in a row is the sum of the number to the left to the number above left.
The first eight rows are:
These are listed in A011971 of Sloane’s OEIS.
The left outermost diagonal gives the Bell numbers
(1, 2, 5, 15, 52, 203, 877, 4140, etc.) in order.
| Title | Bell’s triangle |
| Canonical name | BellsTriangle |
| Date of creation | 2013-03-22 16:49:16 |
| Last modified on | 2013-03-22 16:49:16 |
| Owner | PrimeFan (13766) |
| Last modified by | PrimeFan (13766) |
| Numerical id | 5 |
| Author | PrimeFan (13766) |
| Entry type | Data Structure |
| Classification | msc 05A18 |
| Classification | msc 11B73 |
| Synonym | Bell triangle |
| Synonym | Aitken’s array |
| Synonym | Aitken array |
| Synonym | Peirce triangle |
| Synonym | Peirce’s triangle |