login
A296561
Number of rim-hook (or border-strip) tableaux whose shape is the integer partition with Heinz number n.
19
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, 144, 62, 86, 512, 100, 1024, 16, 200, 320, 193, 78, 2048, 704, 496, 86, 4096, 306, 8192, 216, 242, 1536, 16384, 64, 414, 242, 1200, 528, 32768, 193, 552, 245, 2848, 3328
OFFSET
1,3
COMMENTS
The Murnaghan-Nakayama rule uses rim-hook tableaux to expand Schur functions in terms of power-sum symmetric functions.
REFERENCES
Richard P. Stanley, Enumerative Combinatorics Volume 2, Cambridge University Press, 1999, Chapter 7.17.
EXAMPLE
The a(6) = 5 tableaux:
3 2 3 1 2 2 2 1 1 1
1 2 1 2 1
KEYWORD
nonn
AUTHOR
Gus Wiseman, Feb 15 2018
STATUS
approved