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Number of rim-hook (or border-strip) tableaux whose shape is the integer partition with Heinz number n.
19

%I #9 Feb 23 2018 11:08:56

%S 1,1,2,2,4,5,8,4,10,12,16,12,32,28,29,8,64,29,128,33,78,64,256,28,62,

%T 144,62,86,512,100,1024,16,200,320,193,78,2048,704,496,86,4096,306,

%U 8192,216,242,1536,16384,64,414,242,1200,528,32768,193,552,245,2848,3328

%N Number of rim-hook (or border-strip) tableaux whose shape is the integer partition with Heinz number n.

%C The Murnaghan-Nakayama rule uses rim-hook tableaux to expand Schur functions in terms of power-sum symmetric functions.

%D Richard P. Stanley, Enumerative Combinatorics Volume 2, Cambridge University Press, 1999, Chapter 7.17.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Murnaghan%E2%80%93Nakayama_rule">Murnaghan-Nakayama rule</a>

%e The a(6) = 5 tableaux:

%e 3 2 3 1 2 2 2 1 1 1

%e 1 2 1 2 1

%Y Cf. A000085, A001222, A056239, A063834, A112798, A122111, A138178, A153452, A296150, A296188, A299202.

%K nonn

%O 1,3

%A _Gus Wiseman_, Feb 15 2018