Generalization of a Pinsker problem
β Scribed by V. V. Prelov
- Book ID
- 110179877
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 493 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0032-9460
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __n__β>β1 be an integer and let __a__~2~,__a__~3~,β¦,__a__~__n__~ be nonnegative integers such that $\sum\_{i=2}^{n} a\_i=2^{n-1} - 1$. Then $K\_{2^n}$ can be factored into $a\_2 C\_{2^2}$βfactors, $a\_3 C\_{2^3}$βfactors,β¦,$a\_n C\_{2^n}$βfactors, plus a 1βfactor. Β© 2002 Wiley Perio
n-dimensional lattice paths which do not touch the hyperplanes xi-xi + I = -1, i = 1,2, , n -1, and x,-x1 = -1 -K arc enumerated by certain statistics, one of which is MacMahon's major index, the others being variations of it. By a reflection-like proof, a formula involving determinants is obtained.