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A100161 Structured disdyakis dodecahedral numbers (vertex structure 9). 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 4 04:22 EST 2020. Contains 338921 sequences. (Running on oeis4.)