

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
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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)/(1x)^4.  Colin Barker, Jan 19 2012


MATHEMATICA

Table[(40n^348n^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^348*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



