Geodesic
Enumerative problems solution for single-transition serial sequences with an adjacent series heights increment bounded from above
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 2, pp. 119-130.

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In this paper, sets of $n$-valued finite serial sequences are investigated. The sequences consist of two serial subsequences as follows. A sequence begins with an increasing subsequence and ends with a decreasing subsequence or vice versa. The structure of such sequences is determined by restrictions on the number of series, the series lengths, and the series heights. For sets of sequences, whose difference between heights of the adjacent series does not exceed a certain given value, the algorithms that assign smaller numbers to lexicographically lower sequences and smaller numbers to lexicographically higher sequences have been developed. 
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     title = {Enumerative problems solution for single-transition serial sequences with an adjacent series heights increment bounded from above},
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V. A. Amelkin. Enumerative problems solution for single-transition serial sequences with an adjacent series heights increment bounded from above. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 2, pp. 119-130. http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a0/

[1] Amelkin V. A., Perechislitelnye zadachi seriinykh posledovatelnostei, Izd-vo IVMiMG SO RAN, Novosibirsk, 2008

[2] Amelkin V. A., “Numeratsiya neubyvayuschikh i nevozrastayuschikh seriinykh posledovatelnostei”, Sib. zhurn. vychisl. matematiki (Novosibirsk), 12:4 (2009), 389–401