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%I #12 Jan 08 2024 20:59:31
%S 1,2,3,6,10,20,36,72,135,272,528,1052,2080,4160,8244,16508,32896,
%T 65770,131328,262632,524744,1049600,2098176,4196200,8390620,16781312,
%U 33558291,67116944,134225920,268451240,536887296,1073774376,2147515424
%N Number of distinct ribbon Schur functions with n boxes; also the number of distinct multisets of partitions determined by all coarsenings of compositions of n.
%H Louis Billera, Hugh Thomas, and Stephanie van Willigenburg, <a href="https://arxiv.org/abs/math/0405434">Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions</a>, arXiv:math/0405434 [math.CO], 2004-2005.
%H Louis Billera, Hugh Thomas, and Stephanie van Willigenburg, <a href="https://doi.org/10.1016/j.aim.2005.05.014">Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions</a>, Adv. Math. 204: 204-240 (2006).
%H Martin Rubey, <a href="http://arxiv.org/abs/1008.2501">The number of ribbon Schur functions</a>, arXiv:1008.2501 [math.CO], 2010.
%F Dirichlet G.f.: 2 C(s) S(s)/(C(s)+S(s)) where C(s)=Sum_{n>0} 2^{n-1} n^{-s} and S(s)=Sum_{n>0} 2^{floor(n/2)} n^{-s}. - _Martin Rubey_, Aug 17 2010]
%e a(4)=6 as the multisets are {4}, {4,31}, {4,22}, {4,31,22,211}, {4,31,31,211} and {4,31,31,22,211,211,211,1111}
%Y Cf. A005418.
%K nonn
%O 1,2
%A Stephanie van Willigenburg (steph(AT)math.ubc.ca), Jul 09 2006
%E Corrected and extended by _Martin Rubey_, Aug 17 2010
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