Article contents
On the Number of Distinct Terms in the Expansion of Symmetric and Skew Determinants
Published online by Cambridge University Press: 31 October 2008
Extract
The expansion of the symmetric determinant
is familiar. It is of six terms; but one term, fgh, is duplicated, and so there are five distinct terms. If we ascertain the number un of distinct terms in the expansions of symmetric determinants of increasing order, we find the following sequence of values, for n = 0, 1, 2, …,
where by convention u0 = 1.
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1944
- 2
- Cited by