A100170 Structured pentagonal hexacontahedral numbers (vertex structure 10).

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

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

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

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

Crossrefs

Cf. A100169 = alternate vertex; A100145 for more on structured numbers.

Sequence in context: A246802 A302351 A100169 * A233311 A233309 A205992

Adjacent sequences: A100167 A100168 A100169 * A100171 A100172 A100173

Keyword

easy,nonn

Author

James A. Record (james.record(AT)gmail.com), Nov 07 2004

Status

approved