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A100169 Structured pentagonal hexacontahedral numbers (vertex structure 16). 2
1, 92, 438, 1204, 2555, 4656, 7672, 11768, 17109, 23860, 32186, 42252, 54223, 68264, 84540, 103216, 124457, 148428, 175294, 205220, 238371, 274912, 315008, 358824, 406525, 458276, 514242, 574588, 639479, 709080, 783556, 863072 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

a(n) = (1/6)*(165*n^3-225*n^2+66*n).

G.f.: x*(1+88*x+76*x^2)/(1-x)^4. [Colin Barker, Feb 14 2012]

a(n) = (55*n^3 - 75*n^2 + 22*n)/2. - Wesley Ivan Hurt, Nov 26 2013

MAPLE

A100169:=n->(55*n^3-75*n^2+22*n)/2; seq(A100169(n), n=1..100); # Wesley Ivan Hurt, Nov 26 2013

MATHEMATICA

Table[(55n^3 - 75n^2 + 22n)/2, {n, 100}] (* Wesley Ivan Hurt, Nov 26 2013 *)

PROG

(MAGMA) [(1/6)*(165*n^3-225*n^2+66*n): n in [1..40]]; // Vincenzo Librandi, Jul 27 2011

CROSSREFS

Cf. A100170 = alternate vertex; A100145 for more on structured numbers.

Sequence in context: A063326 A185461 A246802 * A100170 A233311 A233309

Adjacent sequences:  A100166 A100167 A100168 * A100170 A100171 A100172

KEYWORD

easy,nonn

AUTHOR

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

STATUS

approved

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Last modified August 21 04:10 EDT 2017. Contains 290857 sequences.