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 A195824 a(n) = 24*n^2. 3
 0, 24, 96, 216, 384, 600, 864, 1176, 1536, 1944, 2400, 2904, 3456, 4056, 4704, 5400, 6144, 6936, 7776, 8664, 9600, 10584, 11616, 12696, 13824, 15000, 16224, 17496, 18816, 20184, 21600, 23064, 24576, 26136, 27744, 29400, 31104, 32856, 34656, 36504 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sequence found by reading the line from 0, in the direction 0, 24,..., in the square spiral whose vertices are the generalized tetradecagonal numbers A195818. Surface area of a cube with side 2n. - Wesley Ivan Hurt, Aug 05 2014 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) = 24*A000290(n) = 12*A001105(n) = 8*A033428(n) = 6*A016742(n) = 4*A033581(n) = 3*A139098(n) = 2*A135453(n). G.f.: 24*x*(1+x)/(1-x)^3. - Wesley Ivan Hurt, Aug 05 2014 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Wesley Ivan Hurt, Aug 05 2014 MAPLE A195824:=n->24*n^2: seq(A195824(n), n=0..50); # Wesley Ivan Hurt, Aug 05 2014 MATHEMATICA 24 Range[0, 30]^2 (* or *) Table[24 n^2, {n, 0, 30}] (* or *) CoefficientList[Series[24 x (1 + x)/(1 - x)^3, {x, 0, 30}], x] (* Wesley Ivan Hurt, Aug 05 2014 *) LinearRecurrence[{3, -3, 1}, {0, 24, 96}, 40] (* Harvey P. Dale, Nov 11 2017 *) PROG (MAGMA) [24*n^2 : n in [0..50]]; // Wesley Ivan Hurt, Aug 05 2014 (PARI) a(n) = 24*n^2; \\ Michel Marcus, Aug 05 2014 (MAGMA) I:=[0, 24, 96]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+Self(n-3): n in [1..50]]; // Vincenzo Librandi, Aug 06 2014 CROSSREFS Bisection of A195158. Cf. A000290, A001105, A016742, A033428, A033581, A135453, A139098. Sequence in context: A057103 A055669 A209432 * A183009 A272871 A277563 Adjacent sequences:  A195821 A195822 A195823 * A195825 A195826 A195827 KEYWORD nonn,easy AUTHOR Omar E. Pol, Sep 28 2011 STATUS approved

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Last modified March 17 08:42 EDT 2018. Contains 300557 sequences. (Running on oeis4.)