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A132764 a(n) = n(n+22). 9
0, 23, 48, 75, 104, 135, 168, 203, 240, 279, 320, 363, 408, 455, 504, 555, 608, 663, 720, 779, 840, 903, 968, 1035, 1104, 1175, 1248, 1323, 1400, 1479, 1560, 1643, 1728, 1815, 1904, 1995, 2088, 2183, 2280, 2379, 2480, 2583, 2688, 2795 (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 + 22).

a(n) = 2*n + a(n-1) + 21 (with a(0)=0). - Vincenzo Librandi, Aug 03 2010

a(0)=0, a(1)=23, a(2)=48, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 02 2012

EXAMPLE

a(1)=2*1+0+21=23; a(2)=2*2+23+21=48; a(3)=2*3+48+21=75. - Vincenzo Librandi, Aug 03 2010

MATHEMATICA

s=0; lst={}; Do[s+=n; AppendTo[lst, s], {n, 23, 6!, 2}]; lst (* Vladimir Joseph Stephan Orlovsky, Feb 26 2009 *)

Table[n(n+22), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 23, 48}, 50] (* Harvey P. Dale, May 02 2012 *)

PROG

(PARI) a(n)=n*(n+22) \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Cf. A002378, A120071, A132760, A132761, A132762, A132763, A098849, A098850, A005563, A028552, A028347, A028557, A028560, A028563, A028566, A028569, A098603, A098847, A132759, A098848.

Sequence in context: A087807 A044100 A044481 * A029493 A063321 A176660

Adjacent sequences:  A132761 A132762 A132763 * A132765 A132766 A132767

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Aug 28 2007

STATUS

approved

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Last modified September 24 07:28 EDT 2020. Contains 337317 sequences. (Running on oeis4.)