proposed

approved

editing

proposed

Christopher Coscia, Jonathan DeWitt, Locally Convex Words and Permutations, Electronic Journal of Combinatorics. 23 (2), 2016, #P2.10. See Table 1.

Dongsu Kim and Jang Soo Kim, The Initial Involution Patterns of Permutations, Electron. J. Combin., Vol. 14 (1) (2007), #R2.

Christopher Coscia, Jonathan DeWitt, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i2p10/0">Locally Convex Words and Permutations</a>, Electronic Journal of Combinatorics. 23 (2), 2016, #P2.10.

Dongsu Kim and Jang Soo Kim, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v14i1r2">The Initial Involution Patterns of Permutations</a>, Electron. J. Combin., Vol. 14 (1) (2007), #R2.

approved

editing

editing

approved

Christopher Coscia, Jonathan DeWitt, Locally Convex Words and Permutations, Electronic Journal of Combinatorics. 23 (2), 2016, #P2.10. See Table 1.

approved

editing

More terms from _Vladeta Jovovic (vladeta(AT)eunet.rs), _, Jan 03 2007

_N. J. A. Sloane (njas(AT)research.att.com), _, Jan 03 2007

nonn,new

nonn

More terms from Vladeta Jovovic (vladeta(AT)Euneteunet.yurs), Jan 03 2007

nonn,new

nonn

N. J. A. Sloane (njas, (AT)research.att.com), Jan 03 2007

Number of j-sets in symmetric group S_n.

0, 1, 2, 4, 8, 16, 30, 56, 102, 186, 336, 606, 1088, 1954, 3502, 6278, 11246, 20148, 36086, 64640, 115774, 207374, 371430, 665298, 1191646, 2134454, 3823160, 6847974, 12265912, 21970470, 39353006, 70488334, 126257182, 226149314

1,3

For a permutation p=p_1 p_2...p_n in S_n and a positive integer i<= n, we can view p_1 p_2...p_i as an element of S_i by order-preserving relabeling. The j-set of p is the set of i's such that p_1 p_2...p_i is an involution in S_i.

Dongsu Kim and Jang Soo Kim, The Initial Involution Patterns of Permutations, Electron. J. Combin., Vol. 14 (1) (2007), #R2.

Kim and Kim give a g.f.

nonn,new

njas, Jan 03 2007

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 03 2007

approved