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A008968
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Triangle of distribution of rank sums: Wilcoxon's statistic.
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3
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1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 5, 7, 7, 8, 8, 8, 7, 7, 5, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 5, 7, 8, 9, 10, 10, 10, 10, 9, 8, 7, 5, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 12, 13, 12
(list; graph; refs; listen; history; internal format)
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OFFSET
| 6,3
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REFERENCES
| F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 237.
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FORMULA
| Let f(r) = Product( (x^i-x^(r+1))/(1-x^i), i = 1..r-3) / x^((r-2)*(r-3)/2); then expanding f(r) in powers of x and taking coefficients gives the successive rows of this triangle (with a different offset).
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CROSSREFS
| Sequence in context: A110049 A097032 A127661 * A162499 A135715 A089326
Adjacent sequences: A008965 A008966 A008967 * A008969 A008970 A008971
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KEYWORD
| tabf,nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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