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A100176
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Structured octagonal prism numbers.
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2
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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
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OFFSET
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1,2
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COMMENTS
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Number of divisors of 120^(n-1). - J. Lowell, Aug 30 2008
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LINKS
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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).
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FORMULA
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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
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MAPLE
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[seq(3*n^3-2*n^2, n=1..47)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 29 2006
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MATHEMATICA
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f[n_]:=3*n^3-2*n^2; Table[f[n], {n, 0, 50}] [From Vladimir Orlovsky, Apr 27 2010]
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PROG
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(MAGMA) [3*n^3-2*n^2: n in [1..50] ]; // Vincenzo Librandi, Aug 02 2011
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CROSSREFS
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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
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KEYWORD
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easy,nonn
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AUTHOR
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James A. Record (james.record(AT)gmail.com). Nov 07, 2004.
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EXTENSIONS
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More terms from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 29 2006
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STATUS
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approved
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