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A005904 Centered dodecahedral numbers.
(Formerly M5239)
6

%I M5239

%S 1,33,155,427,909,1661,2743,4215,6137,8569,11571,15203,19525,24597,

%T 30479,37231,44913,53585,63307,74139,86141,99373,113895,129767,147049,

%U 165801,186083,207955,231477,256709,283711,312543,343265,375937,410619,447371

%N Centered dodecahedral numbers.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%D B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.

%H Simon Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992.

%H Simon Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">1031 Generating Functions and Conjectures</a>, Université du Québec à Montréal, 1992.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).

%F a(n) = (2*n+1)*(5*n^2+5*n+1).

%p A005904:=(z+1)*(z**2+28*z+1)/(z-1)**4; [Conjectured by _Simon Plouffe_ in his 1992 dissertation.]

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified February 20 10:56 EST 2018. Contains 299385 sequences. (Running on oeis4.)