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A132762 a(n) = n*(n + 19). 12
0, 20, 42, 66, 92, 120, 150, 182, 216, 252, 290, 330, 372, 416, 462, 510, 560, 612, 666, 722, 780, 840, 902, 966, 1032, 1100, 1170, 1242, 1316, 1392, 1470, 1550, 1632, 1716, 1802, 1890, 1980, 2072, 2166, 2262, 2360, 2460, 2562, 2666 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

F. P. Muga II, Extending the Golden Ratio and the Binet-de Moivre Formula, March 2014; Preprint on ResearchGate.

LINKS

Table of n, a(n) for n=0..43.

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

FORMULA

a(n) = 2*n + a(n-1) + 18 for n > 0, a(0) = 0. - Vincenzo Librandi, Aug 03 2010

From Chai Wah Wu, Dec 17 2016: (Start)

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2.

G.f.: 2*x*(9*x - 10)/(x - 1)^3. (End)

a(n) = 2*A051942(n+9). - R. J. Mathar, Sep 05 2018

MATHEMATICA

Table[n (n + 19), {n, 0, 50}] (* Bruno Berselli, Sep 05 2018 *)

PROG

(PARI) a(n)=n*(n+19) \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A002378, A120071.

Sequence in context: A041794 A041796 A041798 * A075228 A256102 A128672

Adjacent sequences:  A132759 A132760 A132761 * A132763 A132764 A132765

KEYWORD

nonn,easy

AUTHOR

Omar E. Pol, Aug 28 2007

STATUS

approved

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Last modified March 22 10:07 EDT 2019. Contains 321421 sequences. (Running on oeis4.)