login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A153260 a(n) = n^3 - 3*(n+3)^2. 1
-27, -47, -67, -81, -83, -67, -27, 43, 149, 297, 493, 743, 1053, 1429, 1877, 2403, 3013, 3713, 4509, 5407, 6413, 7533, 8773, 10139, 11637, 13273, 15053, 16983, 19069, 21317, 23733, 26323, 29093, 32049, 35197, 38543, 42093, 45853, 49829, 54027 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=-27, a(1)=-47, a(2)=-67, a(3)=-81. - Harvey P. Dale, Aug 24 2011

G.f.: (x*(x*(13*x - 41) + 61) - 27)/(x-1)^4. - Harvey P. Dale, Aug 24 2011

E.g.f.: (-27 - 20*x + x^3)*exp(x). - G. C. Greubel, Nov 10 2018

MATHEMATICA

a[n_]:=n^3-3*(n+3)^2; a/@ Range[0, 50]

Table[n^3-3(n+3)^2, {n, 0, 50}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {-27, -47, -67, -81}, 51] (* Harvey P. Dale, Aug 24 2011 *)

PROG

(MAGMA)[n^3-3*(n+3)^2: n in [0..40] ]; // Vincenzo Librandi, Aug 25 2011

(PARI) vector(40, n, n--; n^3-3*(n+3)^2) \\ G. C. Greubel, Nov 10 2018

CROSSREFS

Cf. A045991, A081437, A069778, A153257, A153258, A153259.

Sequence in context: A223019 A059658 A241407 * A254209 A155137 A155138

Adjacent sequences:  A153257 A153258 A153259 * A153261 A153262 A153263

KEYWORD

sign

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 22 2008

EXTENSIONS

Offset changed from 1 to 0 by Vincenzo Librandi, Aug 25 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 18 12:18 EDT 2019. Contains 328160 sequences. (Running on oeis4.)