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A143698 12 times hexagonal numbers: 12*n*(2*n-1). 3
0, 12, 72, 180, 336, 540, 792, 1092, 1440, 1836, 2280, 2772, 3312, 3900, 4536, 5220, 5952, 6732, 7560, 8436, 9360, 10332, 11352, 12420, 13536, 14700, 15912, 17172, 18480, 19836, 21240, 22692, 24192, 25740, 27336, 28980, 30672, 32412 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sequence found by reading the line from 0, in the direction 0, 12,..., in the square spiral whose vertices are the generalized tetradecagonal numbers A195818. - Omar E. Pol, Oct 02 2011

LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = 24n^2 - 12n = A000384(n)*12 = A002939(n)*6 = A094159(n)*4 = A085250(n)*3 = A152746(n)*2.

a(n)=a(n-1)+48*n-36  (with a(0)=0). - Vincenzo Librandi, Dec 14 2010

MATHEMATICA

Table[24n^2-12n, {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 12, 72}, 40] (* Harvey P. Dale, Sep 24 2015 *)

PROG

(PARI) a(n)=24*n^2-12*n \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A000384, A002939, A094159, A085250, A152746, A154617.

Sequence in context: A209447 A219302 A101523 * A304164 A199531 A188660

Adjacent sequences:  A143695 A143696 A143697 * A143699 A143700 A143701

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Jan 23 2009

STATUS

approved

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Last modified November 19 09:01 EST 2018. Contains 317348 sequences. (Running on oeis4.)