Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
editing
approved
proposed
approved
editing
proposed
Jean-Christophe Novelli, Jean-Yves Thibon, Frédéric Toumazet, <a href="https://arxiv.org/abs/1705.08113">Noncommutative Bell polynomials and the dual immaculate basis</a>, arXiv:1705.08113 [math.CO], 2017.
approved
editing
A. M. Baxter, <a href="httphttps://www.mathpdfs.rutgerssemanticscholar.edu/~baxter/papersorg/thesis2c5d/79e361d3aecb25c380402144177ad7cd9dc8.pdf">Algorithms for Permutation Statistics</a>, Ph. D. Dissertation, Rutgers University, May 2011.
proposed
approved
editing
proposed
b[u_, o_] := b[u, o] = Expand[If[u+o == 0, 1, Sum[b[u-j, o+j-1]* x^(o+j-1), {j, 1, u}] + Sum[If[u == 0, b[u+j-1, o-j]*x^(o-j), 0], {j, 1, o}]]]; T[n_] := Function[p, Table[Coefficient[p, x, i], {i, 0, Exponent[p, x]}] ][b[0, n]]; Table[T[n], {n, 0, 10}] // Flatten (* Jean-François Alcover, Feb 01 2016, after Alois P. Heinz *)
approved
editing
editing
approved