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A144560 Ten times hexagonal numbers: 10*n*(2*n-1). 1

%I #17 Jun 18 2017 12:38:58

%S 0,10,60,150,280,450,660,910,1200,1530,1900,2310,2760,3250,3780,4350,

%T 4960,5610,6300,7030,7800,8610,9460,10350,11280,12250,13260,14310,

%U 15400,16530,17700,18910,20160,21450,22780,24150,25560,27010

%N Ten times hexagonal numbers: 10*n*(2*n-1).

%C Sequence found by reading the line from 0, in the direction 0, 10,..., in the square spiral whose vertices are the generalized dodecagonal numbers A195162. - _Omar E. Pol_, Sep 18 2011

%H Ivan Panchenko, <a href="/A144560/b144560.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

%F a(n) = 20n^2 - 10n = A000384(n)*10 = A002939(n)*5 = A152745(n)*2.

%F a(n) = a(n-1)+40*n-30 (with a(0)=0). - _Vincenzo Librandi_, Dec 14 2010

%o (PARI) a(n)=10*n*(2*n-1) \\ _Charles R Greathouse IV_, Jun 17 2017

%Y Cf. A000384, A002939, A152745, A152994.

%K easy,nonn

%O 0,2

%A _Omar E. Pol_, Jan 01 2009

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Last modified April 24 03:07 EDT 2024. Contains 371918 sequences. (Running on oeis4.)