|
| |
|
|
A134686
|
|
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.
|
|
1
| | |
|
|
|
OFFSET
| 1,2
|
|
|
REFERENCES
| 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
|
|
|
LINKS
| Thomas Wieder (thomas.wieder(AT)t-online.de), Nov 06 2007, Table of n, a(n) for n = 1..4
|
|
|
FORMULA
| w(m,n):=sum((stirling2(n,k)*k!)^(n!*m), k=1..m)
|
|
|
MAPLE
| 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;
|
|
|
CROSSREFS
| Cf. A000670, A082677, A082678.
Sequence in context: A013882 A157255 A114432 * A128398 A187567 A160145
Adjacent sequences: A134683 A134684 A134685 * A134687 A134688 A134689
|
|
|
KEYWORD
| nonn,bref
|
|
|
AUTHOR
| Thomas Wieder (thomas.wieder(AT)t-online.de), Nov 06 2007
|
| |
|
|
