%I A005904 M5239
%S A005904 1,33,155,427,909,1661,2743,4215,6137,8569,11571,15203,19525,24597,30479,
%T A005904 37231,44913,53585,63307,74139,86141,99373,113895,129767,147049,165801,
%U A005904 186083,207955,231477,256709,283711,312543,343265,375937,410619,447371
%N A005904 Centered dodecahedral numbers.
%D A005904 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005904 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 A005904 B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral 
               clusters, Inorgan. Chem. 24 (1985), 4545-4558.
%H A005904 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 A005904 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 A005904 (2*n+1)*(5*n^2+5*n+1).
%p A005904 A005904:=(z+1)*(z**2+28*z+1)/(z-1)**4; [Conjectured by S. Plouffe in 
               his 1992 dissertation.]
%Y A005904 Sequence in context: A158588 A084028 A007260 this_sequence A086504 A113752 
               A155883
%Y A005904 Adjacent sequences: A005901 A005902 A005903 this_sequence A005905 A005906 
               A005907
%K A005904 nonn
%O A005904 0,2
%A A005904 N. J. A. Sloane (njas(AT)research.att.com).