login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007589 Dodecahedral surface numbers: a(0)=0, a(1)=1, a(2)=20, thereafter 2*((3*n-7)^2 +21).
(Formerly M5083)
1
0, 1, 20, 50, 92, 170, 284, 434, 620, 842, 1100, 1394, 1724, 2090, 2492, 2930, 3404, 3914, 4460, 5042, 5660, 6314, 7004, 7730, 8492, 9290, 10124, 10994, 11900, 12842, 13820, 14834, 15884, 16970, 18092, 19250 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

a(n) = Vertices + Edges*(n-2) + Faces*facenumber(n-3) = 20 + 30(n-2) + 12*A000326(n-3) - Mitch Harris, Oct 25 2006

MATHEMATICA

Join[{0, 1, 20}, 2((3Range[3, 40]-7)^2+21)] (* Harvey P. Dale, Sep 24 2011 *)

Join[{0, 1, 20}, CoefficientList[Series[2*(25-29*x+22*x^2)/(1-x)^3, {x, 0, 50}], x] ] (* Vincenzo Librandi, Jul 07 2012 *)

PROG

(MAGMA) I:=[0, 1, 20, 50, 92, 170]; [n le 6 select I[n] else 3*Self(n-1)-3*Self(n-2)+Self(n-3): n in [1..50]]; // Vincenzo Librandi, Jul 07 2012

CROSSREFS

Sequence in context: A277553 A260093 A304832 * A182462 A231293 A227771

Adjacent sequences:  A007586 A007587 A007588 * A007590 A007591 A007592

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, R. K. Guy.

EXTENSIONS

Revised definition - N. J. A. Sloane, Sep 25 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 15 17:12 EDT 2018. Contains 316237 sequences. (Running on oeis4.)