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A100170
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Structured pentagonal hexacontahedral numbers (vertex structure 10).
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2
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1, 92, 444, 1228, 2615, 4776, 7882, 12104, 17613, 24580, 33176, 43572, 55939, 70448, 87270, 106576, 128537, 153324, 181108, 212060, 246351, 284152, 325634, 370968, 420325, 473876, 531792, 594244, 661403, 733440, 810526, 892832
(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..10000
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
| a(n)=(1/6)*(171*n^3-243*n^2+78*n).
G.f.: x*(1+88*x+82*x^2)/(1-x)^4. [Colin Barker, Feb 14 2012]
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PROG
| (MAGMA) [(1/6)*(171*n^3-243*n^2+78*n): n in [1..40]]; // Vincenzo Librandi, Jul 27 2011
(PARI) a(n)=n*(171*n^2-243*n+78)/6 \\ Charles R Greathouse IV, Feb 06 2012
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CROSSREFS
| Cf. A100169 = alternate vertex; A100145 for more on structured numbers.
Sequence in context: A063326 A185461 A100169 * A205992 A200425 A107343
Adjacent sequences: A100167 A100168 A100169 * A100171 A100172 A100173
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KEYWORD
| easy,nonn,changed
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AUTHOR
| James A. Record (james.record(AT)gmail.com). Nov 07, 2004.
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