Search: id:A000770
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%I A000770 M5112 N2215
%S A000770 1,21,266,2646,22827,179487,1323652,9321312,63436373,420693273,
%T A000770 2734926558,17505749898,110687251039,693081601779,4306078895384
%N A000770 Stirling numbers of the second kind, S(n,6).
%D A000770 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000770 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000770 S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques 
               Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%D A000770 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 
               National Bureau of Standards Applied Math. Series 55, 1964 (and various 
               reprintings), p. 835.
%D A000770 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied 
               Tables, Cambridge, 1966, p. 223.
%H A000770 T. D. Noe, <a href="b000770.txt">Table of n, a(n) for n=6..200</a>
%H A000770 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%H A000770 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A000770 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%H A000770 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=349">
               Encyclopedia of Combinatorial Structures 349</a>
%F A000770 G.f.: x^6/product(1-k*x, k=1..6). E.g.f. ((exp(x)-1)^6)/6!.
%p A000770 A000770:=1/(z-1)/(6*z-1)/(4*z-1)/(3*z-1)/(2*z-1)/(5*z-1); [Conjectured 
               by S. Plouffe in his 1992 dissertation.]
%t A000770 lst={};Do[f=StirlingS2[n, 6];AppendTo[lst, f], {n, 6, 5!}];lst [From 
               Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 27 2008]
%Y A000770 a(n)= A008277(n, 6) (Stirling2 triangle).
%Y A000770 Cf. A008277.
%Y A000770 Sequence in context: A092794 A133717 A056282 this_sequence A133105 A032535 
               A022745
%Y A000770 Adjacent sequences: A000767 A000768 A000769 this_sequence A000771 A000772 
               A000773
%K A000770 nonn
%O A000770 6,2
%A A000770 N. J. A. Sloane (njas(AT)research.att.com).

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