Search: id:A001702
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%I A001702 M5148 N2234
%S A001702 1,24,154,580,1665,4025,8624,16884,30810,53130,87450,138424,211939,
%T A001702 315315,457520,649400,903924,1236444,1664970,2210460,2897125,3752749
%N A001702 Generalized Stirling numbers.
%D A001702 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001702 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001702 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 A001702 Mitrinovic, D. S.; Mitrinovic, R. S.; Tableaux d'une classe de nombres 
               relies aux nombres de Stirling. Univ. Beograd. Publ. Elektrotehn. 
               Fak. Ser. Mat. Fiz. No. 77 1962, 77 pp.
%H A001702 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 A001702 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.
%F A001702 (1/48) (n-1)n(n+1)(n+4)(n^2+7n+14), n>1.
%F A001702 If we define f(n,i,a)=sum(binomial(n,k)*stirling1(n-k,i)*product(-a-j,
               j=0..k-1),k=0..n-i), then a(n-1) = -f(n,n-3,2), for n>=3. [From Milan 
               R. Janjic (agnus(AT)blic.net), Dec 20 2008]
%p A001702 A001702:=(-1-17*z-7*z**2+29*z**3-34*z**4+21*z**5-7*z**6+z**7)/(z-1)**7; 
               [Conjectured by S. Plouffe in his 1992 dissertation.]
%Y A001702 Sequence in context: A039494 A159650 A092181 this_sequence A004308 A008663 
               A125334
%Y A001702 Adjacent sequences: A001699 A001700 A001701 this_sequence A001703 A001704 
               A001705
%K A001702 nonn
%O A001702 1,2
%A A001702 N. J. A. Sloane (njas(AT)research.att.com).

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