A100161 Structured disdyakis dodecahedral numbers (vertex structure 9).

1, 26, 115, 308, 645, 1166, 1911, 2920, 4233, 5890, 7931, 10396, 13325, 16758, 20735, 25296, 30481, 36330, 42883, 50180, 58261, 67166, 76935, 87608, 99225, 111826, 125451, 140140, 155933, 172870, 190991, 210336

Offset

1,2

Comments

Also structured deltoidal icositetrahedral numbers (vertex structure 9) (cf. A100162 = alternate vertex).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

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

Formula

a(n) = (1/6)*(40*n^3 - 48*n^2 + 14*n).

G.f.: x*(1 + 22*x + 17*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012

Mathematica

Table[(40n^3-48n^2+14n)/6, {n, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 26, 115, 308}, 40] (* Harvey P. Dale, Sep 23 2016 *)

Prog

(Magma) [(1/6)*(40*n^3-48*n^2+14*n): n in [1..40]]; // Vincenzo Librandi, Jul 24 2011

Crossrefs

Cf. A100162, A100163 = alternate vertices; A100145 for more on structured polyhedral numbers.

Sequence in context: A156385 A251262 A221570 * A100162 A051729 A100163

Adjacent sequences: A100158 A100159 A100160 * A100162 A100163 A100164

Keyword

nonn,easy

Author

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

Status

approved