T04
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Triangles
- T01 Pascal-Triangle
- T02 Worpitzky-Triangle
- T03 Faulhaber-Hurwitz-Triangle
- T04 Clausen-Numbers
- T05 Euler-Secant-Triangle
- T06 Euler-Tangent-Triangle
- T07 Euler-Triangle
- T08 Polygonal-Numbers
- T09 Deco-Polyomino-Triangle
- T10 Standard-Tableaux
- T11 Catalan-Narayana-Triangle
- T12 Eulerian-Number
- T13 Pierce-Bell-Triangle
- T14 MacMahon-Triangle
- T15 Crete-Polynomials
- T16 Generalized-Variations
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Pages
- Home
- Introduction
- Triangle Definitions
- Fingerprint of a Triangle
- Glossary
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| RectangleForm | ||||||
| 1 | 1 | 2 | 3 | 2 | 5 | 6 |
| 1 | 2 | 6 | 2 | 30 | 2 | 42 |
| 1 | 3 | 3 | 15 | 3 | 21 | 15 |
| 1 | 1 | 5 | 1 | 35 | 1 | 5 |
| 1 | 5 | 5 | 35 | 5 | 5 | 35 |
| 1 | 1 | 7 | 1 | 7 | 1 | 77 |
| 1 | 7 | 7 | 7 | 7 | 77 | 7 |
| Fingerprint | ||||
| SubSeqType | 0 | 1 | 2 | 3 |
| Row | A007947 | A141056 | A000000 | A000000 |
| Column | A000012 | A089026 | A110560 | A000000 |
| DiagRow | A089026 | A000000 | A000000 | A000000 |
| DiagColumn | A089026 | A000000 | A000000 | A000000 |
| Characteristic | SUM | ALS | LCM | GCD |
| Sequence | A000000 | A000000 | A034386 | A089026 |
Maple T04 := proc(n, k) local p; mul(p,p=select(isprime,map(p->p+k,divisors(n-k)))) end:
TeX T_{04}(n,k)= \prod_{(p+k) \mid (n-k) } p \quad (p\ {prime})
ECT