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%I #17 May 06 2024 01:43:10
%S 2,4,56,1056,25152,721792,24242048,934070016,40677025792,
%T 1978400285696,106415765626880,6277848492765184,403294366605090816,
%U 28037670640704192512,2098017767318156902400,168168589694078181900288,14378323356065959114047488,1306353644272598753321943040
%N a(n) = 2^n*A122705(n).
%H Jean-Christophe Novelli and Jean-Yves Thibon, <a href="https://doi.org/10.1016/j.disc.2010.09.008">Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions</a>, Discrete Mathematics, Vol. 310, No. 24 (2010), pp. 3584-3606; <a href="https://arxiv.org/abs/0806.3682">arXiv preprint</a>, arXiv:0806.3682 [math.CO], 2008. See Eq. (123).
%Y Cf. A122705.
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Jan 23 2012
%E Offset corrected, first term 0 removed and more terms added by _Amiram Eldar_, May 06 2024