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 A100176 Structured octagonal prism numbers. 2
 1, 16, 63, 160, 325, 576, 931, 1408, 2025, 2800, 3751, 4896, 6253, 7840, 9675, 11776, 14161, 16848, 19855, 23200, 26901, 30976, 35443, 40320, 45625, 51376, 57591, 64288, 71485, 79200, 87451, 96256, 105633, 115600, 126175, 137376, 149221 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Number of divisors of 120^(n-1). - J. Lowell, Aug 30 2008 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n)=(1/6)*(18n^3-12*n^2) 3*n^3-2*n^2. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 29 2006 G.f.: x*(1+12*x+5*x^2)/(1-x)^4. - Colin Barker, Jun 08 2012 MAPLE [seq(3*n^3-2*n^2, n=1..47)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 29 2006 MATHEMATICA f[n_]:=3*n^3-2*n^2; Table[f[n], {n, 0, 50}] [From Vladimir Orlovsky, Apr 27 2010] PROG (MAGMA) [3*n^3-2*n^2: n in [1..50] ]; // Vincenzo Librandi, Aug 02 2011 CROSSREFS Cf. A100177 - structured prisms; A100145 for more on structured numbers. Sequence in context: A066391 A022289 A143860 * A060091 A076751 A215969 Adjacent sequences:  A100173 A100174 A100175 * A100177 A100178 A100179 KEYWORD easy,nonn AUTHOR James A. Record (james.record(AT)gmail.com). Nov 07, 2004. EXTENSIONS More terms from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 29 2006 STATUS approved

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