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A100170 Structured pentagonal hexacontahedral numbers (vertex structure 10). 2
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; text; internal format)
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

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Last modified May 6 16:17 EDT 2021. Contains 343586 sequences. (Running on oeis4.)