Geodesic
Enumeration problems of sets of increasing and decreasing $n$-valued serial sequences with double-ended constraints on series heights
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 3, pp. 205-215

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Enumeration problems for $n$-valued serial sequences are considered. Sets of increasing and decreasing sequences whose structure is specified by constraints on lengths of series and on a difference in heights of the neighboring series in the case when this difference lies between $\delta_1$ and $\delta_2$ are examined. Formulas for powers of these sets and algorithms for the direct and reverse numerations (assigning smaller numbers to the lexicographically lower-order sequences or smaller numbers to the lexicographically higher-order sequences) are obtained. 
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     author = {V. A. Amelkin},
     title = {Enumeration problems of sets of increasing and decreasing $n$-valued serial sequences with double-ended constraints on series heights},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {205--215},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2013_16_3_a1/}
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V. A. Amelkin. Enumeration problems of sets of increasing and decreasing $n$-valued serial sequences with double-ended constraints on series heights. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 3, pp. 205-215. http://geodesic.mathdoc.fr/item/SJVM_2013_16_3_a1/