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Number of length n inversion sequences avoiding the patterns 010 and 201 (or 010 and 210).
4

%I #13 Jul 12 2024 09:51:47

%S 1,1,2,5,15,53,214,958,4650,24103,131974,757011,4519321,27933252,

%T 177987808,1165057411,7811122974,53506838952,373693431140,

%U 2656088059747,19182588092365,140577110057850,1044102585724522,7851149068600037,59714190403840142,459001044591439621

%N Number of length n inversion sequences avoiding the patterns 010 and 201 (or 010 and 210).

%H Benjamin Testart, <a href="/A360052/b360052.txt">Table of n, a(n) for n = 0..200</a>

%H Benjamin Testart, <a href="https://arxiv.org/abs/2212.07222">Inversion sequences avoiding the pattern 010</a>, arXiv:2212.07222 [math.CO], 2022. See Table 2 p. 2.

%H Benjamin Testart, <a href="https://arxiv.org/abs/2407.07701">Completing the enumeration of inversion sequences avoiding one or two patterns of length 3</a>, arXiv:2407.07701 [math.CO], 2024.

%H Chunyan Yan and Zhicong Lin, <a href="https://arxiv.org/abs/1912.03674">Inversion sequences avoiding pairs of patterns</a>, arXiv:1912.03674 [math.CO], 2019.

%Y Cf. A263779, A263777.

%K nonn

%O 0,3

%A _Benjamin Testart_, Jan 23 2023