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 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
 1, 17, 203119913336833 (list; graph; refs; listen; history; text; internal format)
 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, 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: A271562 A157255 A114432 * A257305 A128398 A257377 Adjacent sequences:  A134683 A134684 A134685 * A134687 A134688 A134689 KEYWORD nonn,bref AUTHOR Thomas Wieder, Nov 06 2007 STATUS approved

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Last modified October 18 15:41 EDT 2019. Contains 328162 sequences. (Running on oeis4.)