For each sequence q = {qi} = Β±1, i = 1 ..... n -1 let Nq = the number of permutations tr of 1, 2 ..... n with up-down sequence sgn(tri+x-tri) = th, i = 1 ..... n -1. Clearly Y.q (Nqln!) = 1 but what is the probability p, = Y.q (NJn!) 2 that two random permutations have the same up-down sequence? We
β¦ LIBER β¦
Enumeration of up-down permutations by upper records
β Scribed by L. Carlitz; Richard Scoville
- Publisher
- Springer Vienna
- Year
- 1975
- Tongue
- English
- Weight
- 350 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0026-9255
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