%I A000033 M0602 N0216
%S A000033 0,2,3,4,40,210,1477,11672,104256,1036050,11338855,135494844,1755206648,
%T A000033 24498813794,366526605705,5851140525680,99271367764480,1783734385752162,
%U A000033 33837677493828171,675799125332580020,14173726082929399560,311462297063636041906
%N A000033 Coefficients of menage hit polynomials.
%D A000033 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 
               197.
%D A000033 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000033 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000033 David W. Wilson, <a href="b000033.txt">Table of n, a(n) for n = 1..100</
               a>
%F A000033 a(n) = coefficient of t^2 in polynomial p(t) = SUM(k = 0..n, (2n C(2n-k,
               k) (n-k)! (t-1)^k)/(2n-k))
%F A000033 a(n) = SUM(k = 2..n, ((-1)^k n (2n-k-1)! (n-k)!)/((2n-2k)! (k-2)!)) - 
               David W. Wilson (davidwwilson(AT)comcast.net), Jun 22 2006
%Y A000033 a(n) = n*A000426(n) - Vladeta Jovovic(vladeta(AT)eunet.rs), Dec 27 2007
%Y A000033 A diagonal of A058087. Cf. A000179, A000425.
%Y A000033 Sequence in context: A037326 A024634 A134305 this_sequence A060411 A037322 
               A037429
%Y A000033 Adjacent sequences: A000030 A000031 A000032 this_sequence A000034 A000035 
               A000036
%K A000033 nonn,easy
%O A000033 1,2
%A A000033 N. J. A. Sloane (njas(AT)research.att.com) and Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A000033 Extended to 34 terms by N. J. A. Sloane (njas(AT)research.att.com), May 
               25 2005
%E A000033 Edited and further extended by David W. Wilson, Dec 27 2007