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A117642 a(n) = 3*n^3. 11
0, 3, 24, 81, 192, 375, 648, 1029, 1536, 2187, 3000, 3993, 5184, 6591, 8232, 10125, 12288, 14739, 17496, 20577, 24000, 27783, 31944, 36501, 41472, 46875, 52728, 59049, 65856, 73167, 81000, 89373, 98304, 107811, 117912, 128625, 139968, 151959, 164616 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n)^2 = (2n^2)^3 + n^6, thus (A001105(n), A001447(n), a(n)) (n > 0) is a solution of the Diophantine equation x^3 + y^6 = z^2. - XU Pingya, Oct 11 2017

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n+1) = a(n) + 9*n^2 + 9*n + 3 with a(0) = 0. - Jean-Bernard Fran├žois, Oct 04 2013

MAPLE

seq(3*n^3, n=0..38); # Nathaniel Johnston, Jun 26 2011

MATHEMATICA

3Range[0, 35]^3 (* Alonso del Arte, Oct 04 2013 *)

PROG

(MAGMA) [3*n^3: n in [0..40]]; // Vincenzo Librandi, Jun 26 2011

(PARI) a(n)=3*n^3 \\ Charles R Greathouse IV, Oct 12 2017

CROSSREFS

Cf. A000578, A033431.

Sequence in context: A092468 A027158 A251781 * A220834 A276243 A211618

Adjacent sequences:  A117639 A117640 A117641 * A117643 A117644 A117645

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Apr 10 2006

EXTENSIONS

Edited by N. J. A. Sloane, Apr 30 2006

STATUS

approved

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Last modified February 20 00:51 EST 2018. Contains 299357 sequences. (Running on oeis4.)