%I A005288 M3090
%S A005288 3,22,71,169,343,628,1068,1717,2640,3914,5629,7889,10813,14536,
%T A005288 19210,25005,32110,40734,51107,63481,78131,95356,115480,138853,
%U A005288 165852,196882,232377,272801,318649,370448,428758,494173,567322
%N A005288 C(n,5)+C(n,4)-C(n,3)+1, n >= 7.
%D A005288 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005288 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 A005288 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied 
               Tables, Cambridge, 1966, p. 241.
%D A005288 D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, 
               MA, Vol. 3, p. 15.
%D A005288 R. H. Moritz and R. C. Williams, A coin-tossing problem and some related 
               combinatorics, Math. Mag., 61 (1988), 24-29.
%D A005288 E. Netto, Lehrbuch der Combinatorik. 2nd ed., Teubner, Leipzig, 1927, 
               p. 96.
%H A005288 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 A005288 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 A005288 C(n+3, 5)-C(n+2, 3)+C(n, 0).
%p A005288 A005288:=(3+4*z-16*z**2+13*z**3-z**4-3*z**5+z**6)/(z-1)**6; [Conjectured 
               by S. Plouffe in his 1992 dissertation.]
%Y A005288 Cf. A008302.
%Y A005288 Sequence in context: A104604 A139272 A006532 this_sequence A143166 A055550 
               A075204
%Y A005288 Adjacent sequences: A005285 A005286 A005287 this_sequence A005289 A005290 
               A005291
%K A005288 easy,nonn
%O A005288 6,1
%A A005288 N. J. A. Sloane (njas(AT)research.att.com).