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A152746 Six times hexagonal numbers: 6*n*(2*n-1). 10
0, 6, 36, 90, 168, 270, 396, 546, 720, 918, 1140, 1386, 1656, 1950, 2268, 2610, 2976, 3366, 3780, 4218, 4680, 5166, 5676, 6210, 6768, 7350, 7956, 8586, 9240, 9918, 10620, 11346, 12096, 12870, 13668, 14490, 15336, 16206, 17100 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sequence found by reading the line from 0, in the direction 0, 6,..., in the square spiral whose vertices are the generalized octagonal numbers A001082. - Omar E. Pol, Sep 18 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) = 12*n^2 - 6*n = A000384(n)*6 = A002939(n)*3 = A094159(n)*2.

a(n) = a(n-1)+24*n-18 (with a(0)=0). - Vincenzo Librandi, Nov 26 2010

MATHEMATICA

s=0; lst={s}; Do[s+=n; AppendTo[lst, s], {n, 6, 8!, 24}]; lst (* Vladimir Joseph Stephan Orlovsky, Apr 03 2009 *)

6*PolygonalNumber[6, Range[0, 40]] (* The program uses the PolygonalNumber function from Mathematica version 10 *) (* Harvey P. Dale, Mar 04 2016 *)

PROG

(PARI) a(n)=6*n*(2*n-1) \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A000384, A002939, A094159, A085250, A152745.

Sequence in context: A207896 A207656 A207341 * A207363 A207600 A207026

Adjacent sequences:  A152743 A152744 A152745 * A152747 A152748 A152749

KEYWORD

easy,nonn,changed

AUTHOR

Omar E. Pol, Dec 12 2008

STATUS

approved

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Last modified June 24 08:22 EDT 2017. Contains 288697 sequences.