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Search: id:A134686
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| A134686 |
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Number of social welfare functions according to the definition given by Kim and Roush for m=n, where m = number of persons and n = number of alternatives. |
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+0
1
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OFFSET
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1,2
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REFERENCES
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K. H. Kim and F. W. Roush, Combinatorial Aspects of Mathematical Social Sciences, in Sungpyo Hong, Jim Ho Kwah, Ki Hang and Fred W. Roush (eds.), Combinatorial and Computational Mathematics, World Scientific, 2001, ISBN 981-02-4678-1, pp. 30 - 55. See first formula on page 40. www.worldscibooks.com/mathematics/4749.html
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LINKS
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Thomas Wieder (thomas.wieder(AT)t-online.de), Nov 06 2007, Table of n, a(n) for n = 1..4
Thomas Wieder, Home Page.
Thomas Wieder, (old) Home Page.
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FORMULA
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w(m,n):=sum((stirling2(n,k)*k!)^(n!*m), k=1..m)
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MAPLE
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SWF:=proc() local m, mend, n, k, w; mend:=5; for m from 1 to mend do n:=m; w[m]:=sum((stirling2(n, k)*k!)^(n!*m), k=1..m); od; print(w[1], w[2], w[3], w[4], w[5], w[6], w[7], w[8], w[9], w[10]); end proc;
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CROSSREFS
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Cf. A000670, A082677, A082678.
Adjacent sequences: A134683 A134684 A134685 this_sequence A134687 A134688 A134689
Sequence in context: A104536 A013882 A114432 this_sequence A128398 A072839 A008424
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KEYWORD
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nonn,bref
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AUTHOR
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Thomas Wieder (thomas.wieder(AT)t-online.de), Nov 06 2007
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