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A132763 a(n) = n(n+21). 10
0, 22, 46, 72, 100, 130, 162, 196, 232, 270, 310, 352, 396, 442, 490, 540, 592, 646, 702, 760, 820, 882, 946, 1012, 1080, 1150, 1222, 1296, 1372, 1450, 1530, 1612, 1696, 1782, 1870, 1960, 2052, 2146, 2242, 2340, 2440, 2542, 2646, 2752 (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) = n*(n + 21).

a(n) = 2*n + a(n-1) + 20 (with a(0)=0). - Vincenzo Librandi, Aug 03 2010

a(0)=0, a(1)=22, a(2)=46, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 25 2014

EXAMPLE

a(1)=2*1+0+20=22; a(2)=2*2+22+20=46; a(3)=2*3+46+20=72. - Vincenzo Librandi, Aug 03 2010

MATHEMATICA

s=0; lst={}; Do[s+=n; AppendTo[lst, s], {n, 22, 6!, 2}]; lst (* Vladimir Joseph Stephan Orlovsky, Feb 26 2009 *)

Table[n(n+21), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 22, 46}, 50] (* Harvey P. Dale, May 25 2014 *)

PROG

(PARI) a(n)=n*(n+21) \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Cf. A002378, A120071, A132760, A132761, A132762, A098849, A098850, A005563, A028552, A028347, A028557, A028560, A028563, A028566, A028569, A098603, A098847, A132759, A098848.

Sequence in context: A281187 A158862 A161666 * A250723 A044099 A044480

Adjacent sequences:  A132760 A132761 A132762 * A132764 A132765 A132766

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Aug 28 2007

STATUS

approved

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Last modified February 28 10:22 EST 2020. Contains 332323 sequences. (Running on oeis4.)