id:A008968 - OEIS Search Results

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Triangle of distribution of rank sums: Wilcoxon's statistic.

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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; listen)

	OFFSET	`6,3`
	REFERENCES	`F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 237.`
	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).`
	CROSSREFS	`Sequence in context: A110049 A097032 A127661 this_sequence A135715 A089326 A022923` `Adjacent sequences: A008965 A008966 A008967 this_sequence A008969 A008970 A008971`
	KEYWORD	`tabf,nonn,nice`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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