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A100150
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Structured snub cubic numbers.
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3
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1, 24, 107, 288, 605, 1096, 1799, 2752, 3993, 5560, 7491, 9824, 12597, 15848, 19615, 23936, 28849, 34392, 40603, 47520, 55181, 63624, 72887, 83008, 94025, 105976, 118899, 132832, 147813, 163880, 181071, 199424
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = (1/6)*(38*n^3 - 48*n^2 + 16*n).
G.f.: x*(1 + 20*x + 17*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012
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MATHEMATICA
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LinearRecurrence[{4, -6, 4, -1}, {1, 24, 107, 288}, 40] (* Harvey P. Dale, Sep 17 2020 *)
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PROG
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(Magma) [(1/6)*(38*n^3-48*n^2+16*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011
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CROSSREFS
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Cf. A100149, A100151 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
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KEYWORD
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nonn,easy
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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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Deleted extra +16 in formula, corrected by Craig Ferguson, Jul 18 2011
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STATUS
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approved
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