%I A005920 M4611
%S A005920 1,9,33,82,165,291,469,708,1017,1405,1881,2454,3133,3927,4845,5896,7089,
%T A005920 8433,9937,11610,13461,15499,17733,20172,22825,25701,28809,32158,35757,
%U A005920 39615,43741,48144,52833,57817,63105,68706,74629,80883,87477,94420
%N A005920 Tricapped prism numbers.
%D A005920 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005920 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 A005920 B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral 
               clusters, Inorgan. Chem. 24 (1985), 4545-4558.
%H A005920 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 A005920 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 A005920 (1/2) * (3n^3 + 7n^2 + 6n + 2). - R. Stephan, Apr 20 2004
%p A005920 a:=n->(3*n^3+7*n^2+6*n+2)/2: seq(a(n),n=0..60);
%p A005920 A005920:=(1+5*z+3*z**2)/(z-1)**4; [Conjectured by S. Plouffe in his 1992 
               dissertation.]
%Y A005920 Sequence in context: A146823 A147027 A146256 this_sequence A020324 A146171 
               A146188
%Y A005920 Adjacent sequences: A005917 A005918 A005919 this_sequence A005921 A005922 
               A005923
%K A005920 nonn,easy,nice
%O A005920 0,2
%A A005920 N. J. A. Sloane (njas(AT)research.att.com).
%E A005920 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), May 09 2004