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 A005904 Centered dodecahedral numbers. (Formerly M5239) 6
 1, 33, 155, 427, 909, 1661, 2743, 4215, 6137, 8569, 11571, 15203, 19525, 24597, 30479, 37231, 44913, 53585, 63307, 74139, 86141, 99373, 113895, 129767, 147049, 165801, 186083, 207955, 231477, 256709, 283711, 312543, 343265, 375937, 410619, 447371 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558. LINKS Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992. Simon Plouffe, 1031 Generating Functions and Conjectures, Université du Québec à Montréal, 1992. Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1). FORMULA a(n) = (2*n+1)*(5*n^2+5*n+1). MAPLE A005904:=(z+1)*(z**2+28*z+1)/(z-1)**4; [Conjectured by Simon Plouffe in his 1992 dissertation.] CROSSREFS Sequence in context: A084028 A283552 A007260 * A207078 A182588 A199900 Adjacent sequences:  A005901 A005902 A005903 * A005905 A005906 A005907 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified October 15 20:04 EDT 2019. Contains 328037 sequences. (Running on oeis4.)