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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..5000
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
| 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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PROG
| (PARI) a(n)=n*(38*n^2-48*n+16)/6 \\ Charles R Greathouse IV, Jul 18 2011
(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
| Cf. A100149, A100151 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
Sequence in context: A011199 A100149 A013980 * A060334 A187163 A101862
Adjacent sequences: A100147 A100148 A100149 * A100151 A100152 A100153
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KEYWORD
| nonn,easy
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AUTHOR
| James A. Record (james.record(AT)gmail.com), Nov 07 2004
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EXTENSIONS
| Deleted extra +16 in formula, corrected by Craig Ferguson (craigf23(AT)aol.co.uk), Jul 18 2011
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